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Finding the Third Proportional to 24,005,754 and 52,564,842

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Solution

The third proportional to 24,005,754 and 52,564,842 is: 115,100,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005,754 : 52,564,842 = 52,564,842 : x
  2. Step 2: Convert to fraction form
    24,005,754/52,564,842 = 52,564,842/x
  3. Step 3: Cross multiply
    24,005,754x = 52,564,842 × 52,564,842
  4. Step 4: Simplify right side
    24,005,754x = 2,763,062,614,484,964
  5. Step 5: Solve for x
    x = 2,763,062,614,484,964/24,005,754
  6. Step 6: Final answer
    x = 115,100,013.71

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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.