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Finding the Third Proportional to 2,539,031,972 and 3,921,744,164

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Solution

The third proportional to 2,539,031,972 and 3,921,744,164 is: 6,057,457,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539,031,972 : 3,921,744,164 = 3,921,744,164 : x
  2. Step 2: Convert to fraction form
    2,539,031,972/3,921,744,164 = 3,921,744,164/x
  3. Step 3: Cross multiply
    2,539,031,972x = 3,921,744,164 × 3,921,744,164
  4. Step 4: Simplify right side
    2,539,031,972x = 15,380,077,287,868,059,648
  5. Step 5: Solve for x
    x = 15,380,077,287,868,059,648/2,539,031,972
  6. Step 6: Final answer
    x = 6,057,457,116.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.