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Finding the Third Proportional to 13,645,738 and 29,417,132

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Solution

The third proportional to 13,645,738 and 29,417,132 is: 63,416,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645,738 : 29,417,132 = 29,417,132 : x
  2. Step 2: Convert to fraction form
    13,645,738/29,417,132 = 29,417,132/x
  3. Step 3: Cross multiply
    13,645,738x = 29,417,132 × 29,417,132
  4. Step 4: Simplify right side
    13,645,738x = 865,367,655,105,424
  5. Step 5: Solve for x
    x = 865,367,655,105,424/13,645,738
  6. Step 6: Final answer
    x = 63,416,698.69

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