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Finding the Third Proportional to 71,810,995 and 113,728,419

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Solution

The third proportional to 71,810,995 and 113,728,419 is: 180,113,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810,995 : 113,728,419 = 113,728,419 : x
  2. Step 2: Convert to fraction form
    71,810,995/113,728,419 = 113,728,419/x
  3. Step 3: Cross multiply
    71,810,995x = 113,728,419 × 113,728,419
  4. Step 4: Simplify right side
    71,810,995x = 12,934,153,288,239,560
  5. Step 5: Solve for x
    x = 12,934,153,288,239,560/71,810,995
  6. Step 6: Final answer
    x = 180,113,829.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.