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Finding the Third Proportional to 12,085,679,550 and 26,008,019,743.50

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Solution

The third proportional to 12,085,679,550 and 26,008,019,743.50 is: 55,968,478,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085,679,550 : 26,008,019,743.50 = 26,008,019,743.50 : x
  2. Step 2: Convert to fraction form
    12,085,679,550/26,008,019,743.50 = 26,008,019,743.50/x
  3. Step 3: Cross multiply
    12,085,679,550x = 26,008,019,743.50 × 26,008,019,743.50
  4. Step 4: Simplify right side
    12,085,679,550x = 676,417,090,978,285,748,224
  5. Step 5: Solve for x
    x = 676,417,090,978,285,748,224/12,085,679,550
  6. Step 6: Final answer
    x = 55,968,478,080.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.