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Finding the Third Proportional to 38,869,142 and 85,060,396

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Solution

The third proportional to 38,869,142 and 85,060,396 is: 186,144,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,869,142 : 85,060,396 = 85,060,396 : x
  2. Step 2: Convert to fraction form
    38,869,142/85,060,396 = 85,060,396/x
  3. Step 3: Cross multiply
    38,869,142x = 85,060,396 × 85,060,396
  4. Step 4: Simplify right side
    38,869,142x = 7,235,270,967,676,816
  5. Step 5: Solve for x
    x = 7,235,270,967,676,816/38,869,142
  6. Step 6: Final answer
    x = 186,144,344.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.