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Finding the Third Proportional to 63,466,422 and 137,496,970

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Solution

The third proportional to 63,466,422 and 137,496,970 is: 297,880,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,466,422 : 137,496,970 = 137,496,970 : x
  2. Step 2: Convert to fraction form
    63,466,422/137,496,970 = 137,496,970/x
  3. Step 3: Cross multiply
    63,466,422x = 137,496,970 × 137,496,970
  4. Step 4: Simplify right side
    63,466,422x = 18,905,416,759,180,900
  5. Step 5: Solve for x
    x = 18,905,416,759,180,900/63,466,422
  6. Step 6: Final answer
    x = 297,880,614.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.