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Finding the Third Proportional to 1,705,396,810 and 3,731,744,132

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Solution

The third proportional to 1,705,396,810 and 3,731,744,132 is: 8,165,791,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,396,810 : 3,731,744,132 = 3,731,744,132 : x
  2. Step 2: Convert to fraction form
    1,705,396,810/3,731,744,132 = 3,731,744,132/x
  3. Step 3: Cross multiply
    1,705,396,810x = 3,731,744,132 × 3,731,744,132
  4. Step 4: Simplify right side
    1,705,396,810x = 13,925,914,266,716,434,432
  5. Step 5: Solve for x
    x = 13,925,914,266,716,434,432/1,705,396,810
  6. Step 6: Final answer
    x = 8,165,791,201.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.