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Finding the Third Proportional to 296,068,719 and 641,561,424

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Solution

The third proportional to 296,068,719 and 641,561,424 is: 1,390,221,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,068,719 : 641,561,424 = 641,561,424 : x
  2. Step 2: Convert to fraction form
    296,068,719/641,561,424 = 641,561,424/x
  3. Step 3: Cross multiply
    296,068,719x = 641,561,424 × 641,561,424
  4. Step 4: Simplify right side
    296,068,719x = 411,601,060,764,907,776
  5. Step 5: Solve for x
    x = 411,601,060,764,907,776/296,068,719
  6. Step 6: Final answer
    x = 1,390,221,372.10

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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.