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Finding the Third Proportional to 1,338,227,257 and 2,898,866,241

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Solution

The third proportional to 1,338,227,257 and 2,898,866,241 is: 6,279,520,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,227,257 : 2,898,866,241 = 2,898,866,241 : x
  2. Step 2: Convert to fraction form
    1,338,227,257/2,898,866,241 = 2,898,866,241/x
  3. Step 3: Cross multiply
    1,338,227,257x = 2,898,866,241 × 2,898,866,241
  4. Step 4: Simplify right side
    1,338,227,257x = 8,403,425,483,209,469,952
  5. Step 5: Solve for x
    x = 8,403,425,483,209,469,952/1,338,227,257
  6. Step 6: Final answer
    x = 6,279,520,491.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.