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Finding the Third Proportional to 67,351,024 and 145,479,584

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Solution

The third proportional to 67,351,024 and 145,479,584 is: 314,238,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,351,024 : 145,479,584 = 145,479,584 : x
  2. Step 2: Convert to fraction form
    67,351,024/145,479,584 = 145,479,584/x
  3. Step 3: Cross multiply
    67,351,024x = 145,479,584 × 145,479,584
  4. Step 4: Simplify right side
    67,351,024x = 21,164,309,360,813,056
  5. Step 5: Solve for x
    x = 21,164,309,360,813,056/67,351,024
  6. Step 6: Final answer
    x = 314,238,865.33

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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.