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Finding the Third Proportional to 71,589,423,257 and 107,683,020,693

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Solution

The third proportional to 71,589,423,257 and 107,683,020,693 is: 161,974,107,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,589,423,257 : 107,683,020,693 = 107,683,020,693 : x
  2. Step 2: Convert to fraction form
    71,589,423,257/107,683,020,693 = 107,683,020,693/x
  3. Step 3: Cross multiply
    71,589,423,257x = 107,683,020,693 × 107,683,020,693
  4. Step 4: Simplify right side
    71,589,423,257x = 11,595,632,945,569,065,861,120
  5. Step 5: Solve for x
    x = 11,595,632,945,569,065,861,120/71,589,423,257
  6. Step 6: Final answer
    x = 161,974,107,598.85

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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.