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Finding the Third Proportional to 24,535,810 and 49,876,101.50

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Solution

The third proportional to 24,535,810 and 49,876,101.50 is: 101,387,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535,810 : 49,876,101.50 = 49,876,101.50 : x
  2. Step 2: Convert to fraction form
    24,535,810/49,876,101.50 = 49,876,101.50/x
  3. Step 3: Cross multiply
    24,535,810x = 49,876,101.50 × 49,876,101.50
  4. Step 4: Simplify right side
    24,535,810x = 2,487,625,500,838,302
  5. Step 5: Solve for x
    x = 2,487,625,500,838,302/24,535,810
  6. Step 6: Final answer
    x = 101,387,543.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.