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Finding the Third Proportional to 13,661,214 and 29,592,468

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Solution

The third proportional to 13,661,214 and 29,592,468 is: 64,102,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661,214 : 29,592,468 = 29,592,468 : x
  2. Step 2: Convert to fraction form
    13,661,214/29,592,468 = 29,592,468/x
  3. Step 3: Cross multiply
    13,661,214x = 29,592,468 × 29,592,468
  4. Step 4: Simplify right side
    13,661,214x = 875,714,162,331,024
  5. Step 5: Solve for x
    x = 875,714,162,331,024/13,661,214
  6. Step 6: Final answer
    x = 64,102,221.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.