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Finding the Third Proportional to 32,315,409 and 70,711,650

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Solution

The third proportional to 32,315,409 and 70,711,650 is: 154,729,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,315,409 : 70,711,650 = 70,711,650 : x
  2. Step 2: Convert to fraction form
    32,315,409/70,711,650 = 70,711,650/x
  3. Step 3: Cross multiply
    32,315,409x = 70,711,650 × 70,711,650
  4. Step 4: Simplify right side
    32,315,409x = 5,000,137,445,722,500
  5. Step 5: Solve for x
    x = 5,000,137,445,722,500/32,315,409
  6. Step 6: Final answer
    x = 154,729,201.96

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