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Finding the Third Proportional to 38,862,684 and 83,106,211

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Solution

The third proportional to 38,862,684 and 83,106,211 is: 177,719,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862,684 : 83,106,211 = 83,106,211 : x
  2. Step 2: Convert to fraction form
    38,862,684/83,106,211 = 83,106,211/x
  3. Step 3: Cross multiply
    38,862,684x = 83,106,211 × 83,106,211
  4. Step 4: Simplify right side
    38,862,684x = 6,906,642,306,776,521
  5. Step 5: Solve for x
    x = 6,906,642,306,776,521/38,862,684
  6. Step 6: Final answer
    x = 177,719,127.86

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