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Finding the Third Proportional to 4,970,605,302 and 7,717,812,327

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Solution

The third proportional to 4,970,605,302 and 7,717,812,327 is: 11,983,374,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970,605,302 : 7,717,812,327 = 7,717,812,327 : x
  2. Step 2: Convert to fraction form
    4,970,605,302/7,717,812,327 = 7,717,812,327/x
  3. Step 3: Cross multiply
    4,970,605,302x = 7,717,812,327 × 7,717,812,327
  4. Step 4: Simplify right side
    4,970,605,302x = 59,564,627,114,793,156,608
  5. Step 5: Solve for x
    x = 59,564,627,114,793,156,608/4,970,605,302
  6. Step 6: Final answer
    x = 11,983,374,960.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.