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Finding the Third Proportional to 12,838,676 and 27,699,616

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Solution

The third proportional to 12,838,676 and 27,699,616 is: 59,762,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838,676 : 27,699,616 = 27,699,616 : x
  2. Step 2: Convert to fraction form
    12,838,676/27,699,616 = 27,699,616/x
  3. Step 3: Cross multiply
    12,838,676x = 27,699,616 × 27,699,616
  4. Step 4: Simplify right side
    12,838,676x = 767,268,726,547,456
  5. Step 5: Solve for x
    x = 767,268,726,547,456/12,838,676
  6. Step 6: Final answer
    x = 59,762,293.76

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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.