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Finding the Third Proportional to 577,566,156 and 1,247,202,744

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Solution

The third proportional to 577,566,156 and 1,247,202,744 is: 2,693,223,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,566,156 : 1,247,202,744 = 1,247,202,744 : x
  2. Step 2: Convert to fraction form
    577,566,156/1,247,202,744 = 1,247,202,744/x
  3. Step 3: Cross multiply
    577,566,156x = 1,247,202,744 × 1,247,202,744
  4. Step 4: Simplify right side
    577,566,156x = 1,555,514,684,641,129,472
  5. Step 5: Solve for x
    x = 1,555,514,684,641,129,472/577,566,156
  6. Step 6: Final answer
    x = 2,693,223,396.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.