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Finding the Third Proportional to 65,420,113 and 142,722,919

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Solution

The third proportional to 65,420,113 and 142,722,919 is: 311,369,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420,113 : 142,722,919 = 142,722,919 : x
  2. Step 2: Convert to fraction form
    65,420,113/142,722,919 = 142,722,919/x
  3. Step 3: Cross multiply
    65,420,113x = 142,722,919 × 142,722,919
  4. Step 4: Simplify right side
    65,420,113x = 20,369,831,607,880,560
  5. Step 5: Solve for x
    x = 20,369,831,607,880,560/65,420,113
  6. Step 6: Final answer
    x = 311,369,557.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.