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Finding the Third Proportional to 24,061,306.50 and 51,957,814.50

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Solution

The third proportional to 24,061,306.50 and 51,957,814.50 is: 112,197,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,061,306.50 : 51,957,814.50 = 51,957,814.50 : x
  2. Step 2: Convert to fraction form
    24,061,306.50/51,957,814.50 = 51,957,814.50/x
  3. Step 3: Cross multiply
    24,061,306.50x = 51,957,814.50 × 51,957,814.50
  4. Step 4: Simplify right side
    24,061,306.50x = 2,699,614,487,616,410
  5. Step 5: Solve for x
    x = 2,699,614,487,616,410/24,061,306.50
  6. Step 6: Final answer
    x = 112,197,335.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.