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Finding the Third Proportional to 125,467,712 and 271,779,696

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Solution

The third proportional to 125,467,712 and 271,779,696 is: 588,710,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,467,712 : 271,779,696 = 271,779,696 : x
  2. Step 2: Convert to fraction form
    125,467,712/271,779,696 = 271,779,696/x
  3. Step 3: Cross multiply
    125,467,712x = 271,779,696 × 271,779,696
  4. Step 4: Simplify right side
    125,467,712x = 73,864,203,157,852,416
  5. Step 5: Solve for x
    x = 73,864,203,157,852,416/125,467,712
  6. Step 6: Final answer
    x = 588,710,848.24

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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.