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Finding the Third Proportional to 24,005,760 and 52,564,854

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Solution

The third proportional to 24,005,760 and 52,564,854 is: 115,100,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005,760 : 52,564,854 = 52,564,854 : x
  2. Step 2: Convert to fraction form
    24,005,760/52,564,854 = 52,564,854/x
  3. Step 3: Cross multiply
    24,005,760x = 52,564,854 × 52,564,854
  4. Step 4: Simplify right side
    24,005,760x = 2,763,063,876,041,316
  5. Step 5: Solve for x
    x = 2,763,063,876,041,316/24,005,760
  6. Step 6: Final answer
    x = 115,100,037.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.