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Finding the Third Proportional to 342,206,076 and 738,957,336

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Solution

The third proportional to 342,206,076 and 738,957,336 is: 1,595,699,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,206,076 : 738,957,336 = 738,957,336 : x
  2. Step 2: Convert to fraction form
    342,206,076/738,957,336 = 738,957,336/x
  3. Step 3: Cross multiply
    342,206,076x = 738,957,336 × 738,957,336
  4. Step 4: Simplify right side
    342,206,076x = 546,057,944,428,216,896
  5. Step 5: Solve for x
    x = 546,057,944,428,216,896/342,206,076
  6. Step 6: Final answer
    x = 1,595,699,149.50

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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.