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Finding the Third Proportional to 13,645,736 and 29,417,128

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Solution

The third proportional to 13,645,736 and 29,417,128 is: 63,416,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645,736 : 29,417,128 = 29,417,128 : x
  2. Step 2: Convert to fraction form
    13,645,736/29,417,128 = 29,417,128/x
  3. Step 3: Cross multiply
    13,645,736x = 29,417,128 × 29,417,128
  4. Step 4: Simplify right side
    13,645,736x = 865,367,419,768,384
  5. Step 5: Solve for x
    x = 865,367,419,768,384/13,645,736
  6. Step 6: Final answer
    x = 63,416,690.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.