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Finding the Third Proportional to 24,279,102 and 53,006,319

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Solution

The third proportional to 24,279,102 and 53,006,319 is: 115,723,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,279,102 : 53,006,319 = 53,006,319 : x
  2. Step 2: Convert to fraction form
    24,279,102/53,006,319 = 53,006,319/x
  3. Step 3: Cross multiply
    24,279,102x = 53,006,319 × 53,006,319
  4. Step 4: Simplify right side
    24,279,102x = 2,809,669,853,929,761
  5. Step 5: Solve for x
    x = 2,809,669,853,929,761/24,279,102
  6. Step 6: Final answer
    x = 115,723,796.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.