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Finding the Third Proportional to 2,350,144,374 and 3,555,442,635

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Solution

The third proportional to 2,350,144,374 and 3,555,442,635 is: 5,378,891,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350,144,374 : 3,555,442,635 = 3,555,442,635 : x
  2. Step 2: Convert to fraction form
    2,350,144,374/3,555,442,635 = 3,555,442,635/x
  3. Step 3: Cross multiply
    2,350,144,374x = 3,555,442,635 × 3,555,442,635
  4. Step 4: Simplify right side
    2,350,144,374x = 12,641,172,330,775,742,464
  5. Step 5: Solve for x
    x = 12,641,172,330,775,742,464/2,350,144,374
  6. Step 6: Final answer
    x = 5,378,891,812.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.