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Finding the Third Proportional to 38,352,020 and 82,162,792

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Solution

The third proportional to 38,352,020 and 82,162,792 is: 176,020,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,352,020 : 82,162,792 = 82,162,792 : x
  2. Step 2: Convert to fraction form
    38,352,020/82,162,792 = 82,162,792/x
  3. Step 3: Cross multiply
    38,352,020x = 82,162,792 × 82,162,792
  4. Step 4: Simplify right side
    38,352,020x = 6,750,724,389,235,264
  5. Step 5: Solve for x
    x = 6,750,724,389,235,264/38,352,020
  6. Step 6: Final answer
    x = 176,020,047.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.