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Finding the Third Proportional to 13,678,965 and 21,346,591

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Solution

The third proportional to 13,678,965 and 21,346,591 is: 33,312,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678,965 : 21,346,591 = 21,346,591 : x
  2. Step 2: Convert to fraction form
    13,678,965/21,346,591 = 21,346,591/x
  3. Step 3: Cross multiply
    13,678,965x = 21,346,591 × 21,346,591
  4. Step 4: Simplify right side
    13,678,965x = 455,676,947,321,281
  5. Step 5: Solve for x
    x = 455,676,947,321,281/13,678,965
  6. Step 6: Final answer
    x = 33,312,238.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.