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Finding the Third Proportional to 249,257,518 and 576,986,019

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Solution

The third proportional to 249,257,518 and 576,986,019 is: 1,335,618,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,257,518 : 576,986,019 = 576,986,019 : x
  2. Step 2: Convert to fraction form
    249,257,518/576,986,019 = 576,986,019/x
  3. Step 3: Cross multiply
    249,257,518x = 576,986,019 × 576,986,019
  4. Step 4: Simplify right side
    249,257,518x = 332,912,866,121,468,352
  5. Step 5: Solve for x
    x = 332,912,866,121,468,352/249,257,518
  6. Step 6: Final answer
    x = 1,335,618,154.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.