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Finding the Third Proportional to 2,350,144,382 and 3,555,442,648

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Solution

The third proportional to 2,350,144,382 and 3,555,442,648 is: 5,378,891,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350,144,382 : 3,555,442,648 = 3,555,442,648 : x
  2. Step 2: Convert to fraction form
    2,350,144,382/3,555,442,648 = 3,555,442,648/x
  3. Step 3: Cross multiply
    2,350,144,382x = 3,555,442,648 × 3,555,442,648
  4. Step 4: Simplify right side
    2,350,144,382x = 12,641,172,423,217,252,352
  5. Step 5: Solve for x
    x = 12,641,172,423,217,252,352/2,350,144,382
  6. Step 6: Final answer
    x = 5,378,891,833.22

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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.