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Finding the Third Proportional to 24,005,796 and 52,564,924

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Solution

The third proportional to 24,005,796 and 52,564,924 is: 115,100,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005,796 : 52,564,924 = 52,564,924 : x
  2. Step 2: Convert to fraction form
    24,005,796/52,564,924 = 52,564,924/x
  3. Step 3: Cross multiply
    24,005,796x = 52,564,924 × 52,564,924
  4. Step 4: Simplify right side
    24,005,796x = 2,763,071,235,125,776
  5. Step 5: Solve for x
    x = 2,763,071,235,125,776/24,005,796
  6. Step 6: Final answer
    x = 115,100,171.44

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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.