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Finding the Third Proportional to 6,751,827,642,677.70 and 9,109,800,661,066.80

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Solution

The third proportional to 6,751,827,642,677.70 and 9,109,800,661,066.80 is: 12,291,259,859,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751,827,642,677.70 : 9,109,800,661,066.80 = 9,109,800,661,066.80 : x
  2. Step 2: Convert to fraction form
    6,751,827,642,677.70/9,109,800,661,066.80 = 9,109,800,661,066.80/x
  3. Step 3: Cross multiply
    6,751,827,642,677.70x = 9,109,800,661,066.80 × 9,109,800,661,066.80
  4. Step 4: Simplify right side
    6,751,827,642,677.70x = 82,988,468,084,373,125,964,234,752
  5. Step 5: Solve for x
    x = 82,988,468,084,373,125,964,234,752/6,751,827,642,677.70
  6. Step 6: Final answer
    x = 12,291,259,859,746.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.