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Finding the Third Proportional to 125,467,706 and 271,779,682

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Solution

The third proportional to 125,467,706 and 271,779,682 is: 588,710,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,467,706 : 271,779,682 = 271,779,682 : x
  2. Step 2: Convert to fraction form
    125,467,706/271,779,682 = 271,779,682/x
  3. Step 3: Cross multiply
    125,467,706x = 271,779,682 × 271,779,682
  4. Step 4: Simplify right side
    125,467,706x = 73,864,195,548,021,120
  5. Step 5: Solve for x
    x = 73,864,195,548,021,120/125,467,706
  6. Step 6: Final answer
    x = 588,710,815.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.