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Finding the Third Proportional to 67,599,874 and 145,975,844

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Solution

The third proportional to 67,599,874 and 145,975,844 is: 315,221,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,599,874 : 145,975,844 = 145,975,844 : x
  2. Step 2: Convert to fraction form
    67,599,874/145,975,844 = 145,975,844/x
  3. Step 3: Cross multiply
    67,599,874x = 145,975,844 × 145,975,844
  4. Step 4: Simplify right side
    67,599,874x = 21,308,947,031,512,336
  5. Step 5: Solve for x
    x = 21,308,947,031,512,336/67,599,874
  6. Step 6: Final answer
    x = 315,221,697.48

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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.