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Finding the Third Proportional to 10,624,819,627 and 15,878,670,327

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Solution

The third proportional to 10,624,819,627 and 15,878,670,327 is: 23,730,489,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624,819,627 : 15,878,670,327 = 15,878,670,327 : x
  2. Step 2: Convert to fraction form
    10,624,819,627/15,878,670,327 = 15,878,670,327/x
  3. Step 3: Cross multiply
    10,624,819,627x = 15,878,670,327 × 15,878,670,327
  4. Step 4: Simplify right side
    10,624,819,627x = 252,132,171,353,550,290,944
  5. Step 5: Solve for x
    x = 252,132,171,353,550,290,944/10,624,819,627
  6. Step 6: Final answer
    x = 23,730,489,571.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.