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Finding the Third Proportional to 24,413,382 and 37,768,023

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Solution

The third proportional to 24,413,382 and 37,768,023 is: 58,427,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413,382 : 37,768,023 = 37,768,023 : x
  2. Step 2: Convert to fraction form
    24,413,382/37,768,023 = 37,768,023/x
  3. Step 3: Cross multiply
    24,413,382x = 37,768,023 × 37,768,023
  4. Step 4: Simplify right side
    24,413,382x = 1,426,423,561,328,529
  5. Step 5: Solve for x
    x = 1,426,423,561,328,529/24,413,382
  6. Step 6: Final answer
    x = 58,427,937.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.