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Finding the Third Proportional to 2,697,797,241 and 4,046,695,588

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Solution

The third proportional to 2,697,797,241 and 4,046,695,588 is: 6,070,042,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,797,241 : 4,046,695,588 = 4,046,695,588 : x
  2. Step 2: Convert to fraction form
    2,697,797,241/4,046,695,588 = 4,046,695,588/x
  3. Step 3: Cross multiply
    2,697,797,241x = 4,046,695,588 × 4,046,695,588
  4. Step 4: Simplify right side
    2,697,797,241x = 16,375,745,181,938,665,472
  5. Step 5: Solve for x
    x = 16,375,745,181,938,665,472/2,697,797,241
  6. Step 6: Final answer
    x = 6,070,042,971.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.