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Finding the Third Proportional to 67,599,872 and 145,975,840

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Solution

The third proportional to 67,599,872 and 145,975,840 is: 315,221,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,599,872 : 145,975,840 = 145,975,840 : x
  2. Step 2: Convert to fraction form
    67,599,872/145,975,840 = 145,975,840/x
  3. Step 3: Cross multiply
    67,599,872x = 145,975,840 × 145,975,840
  4. Step 4: Simplify right side
    67,599,872x = 21,308,945,863,705,600
  5. Step 5: Solve for x
    x = 21,308,945,863,705,600/67,599,872
  6. Step 6: Final answer
    x = 315,221,689.53

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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.