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Finding the Third Proportional to 7,466,065,463 and 15,997,063,157

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Solution

The third proportional to 7,466,065,463 and 15,997,063,157 is: 34,275,888,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466,065,463 : 15,997,063,157 = 15,997,063,157 : x
  2. Step 2: Convert to fraction form
    7,466,065,463/15,997,063,157 = 15,997,063,157/x
  3. Step 3: Cross multiply
    7,466,065,463x = 15,997,063,157 × 15,997,063,157
  4. Step 4: Simplify right side
    7,466,065,463x = 255,906,029,649,046,798,336
  5. Step 5: Solve for x
    x = 255,906,029,649,046,798,336/7,466,065,463
  6. Step 6: Final answer
    x = 34,275,888,808.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.