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Finding the Third Proportional to 67,318,317 and 145,265,454

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Solution

The third proportional to 67,318,317 and 145,265,454 is: 313,466,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,318,317 : 145,265,454 = 145,265,454 : x
  2. Step 2: Convert to fraction form
    67,318,317/145,265,454 = 145,265,454/x
  3. Step 3: Cross multiply
    67,318,317x = 145,265,454 × 145,265,454
  4. Step 4: Simplify right side
    67,318,317x = 21,102,052,125,826,116
  5. Step 5: Solve for x
    x = 21,102,052,125,826,116/67,318,317
  6. Step 6: Final answer
    x = 313,466,721.48

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Why These Related Problems?

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