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Finding the Third Proportional to 249,257,516 and 576,986,014

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Solution

The third proportional to 249,257,516 and 576,986,014 is: 1,335,618,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,257,516 : 576,986,014 = 576,986,014 : x
  2. Step 2: Convert to fraction form
    249,257,516/576,986,014 = 576,986,014/x
  3. Step 3: Cross multiply
    249,257,516x = 576,986,014 × 576,986,014
  4. Step 4: Simplify right side
    249,257,516x = 332,912,860,351,608,192
  5. Step 5: Solve for x
    x = 332,912,860,351,608,192/249,257,516
  6. Step 6: Final answer
    x = 1,335,618,141.81

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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.