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Finding the Third Proportional to 243,592,614 and 568,402,398

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Solution

The third proportional to 243,592,614 and 568,402,398 is: 1,326,318,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,592,614 : 568,402,398 = 568,402,398 : x
  2. Step 2: Convert to fraction form
    243,592,614/568,402,398 = 568,402,398/x
  3. Step 3: Cross multiply
    243,592,614x = 568,402,398 × 568,402,398
  4. Step 4: Simplify right side
    243,592,614x = 323,081,286,052,150,400
  5. Step 5: Solve for x
    x = 323,081,286,052,150,400/243,592,614
  6. Step 6: Final answer
    x = 1,326,318,071.58

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.