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Finding the Third Proportional to 12,586,977 and 27,110,730

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Solution

The third proportional to 12,586,977 and 27,110,730 is: 58,393,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586,977 : 27,110,730 = 27,110,730 : x
  2. Step 2: Convert to fraction form
    12,586,977/27,110,730 = 27,110,730/x
  3. Step 3: Cross multiply
    12,586,977x = 27,110,730 × 27,110,730
  4. Step 4: Simplify right side
    12,586,977x = 734,991,681,132,900
  5. Step 5: Solve for x
    x = 734,991,681,132,900/12,586,977
  6. Step 6: Final answer
    x = 58,393,026.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.