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Finding the Third Proportional to 67,407,342 and 145,227,642

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Solution

The third proportional to 67,407,342 and 145,227,642 is: 312,889,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,407,342 : 145,227,642 = 145,227,642 : x
  2. Step 2: Convert to fraction form
    67,407,342/145,227,642 = 145,227,642/x
  3. Step 3: Cross multiply
    67,407,342x = 145,227,642 × 145,227,642
  4. Step 4: Simplify right side
    67,407,342x = 21,091,068,000,880,164
  5. Step 5: Solve for x
    x = 21,091,068,000,880,164/67,407,342
  6. Step 6: Final answer
    x = 312,889,773.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.