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Finding the Third Proportional to 38,835,084 and 83,722,650

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Solution

The third proportional to 38,835,084 and 83,722,650 is: 180,493,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835,084 : 83,722,650 = 83,722,650 : x
  2. Step 2: Convert to fraction form
    38,835,084/83,722,650 = 83,722,650/x
  3. Step 3: Cross multiply
    38,835,084x = 83,722,650 × 83,722,650
  4. Step 4: Simplify right side
    38,835,084x = 7,009,482,123,022,500
  5. Step 5: Solve for x
    x = 7,009,482,123,022,500/38,835,084
  6. Step 6: Final answer
    x = 180,493,548.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.