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Finding the Third Proportional to 67,478,868,722 and 140,542,923,316

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Solution

The third proportional to 67,478,868,722 and 140,542,923,316 is: 292,718,500,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,478,868,722 : 140,542,923,316 = 140,542,923,316 : x
  2. Step 2: Convert to fraction form
    67,478,868,722/140,542,923,316 = 140,542,923,316/x
  3. Step 3: Cross multiply
    67,478,868,722x = 140,542,923,316 × 140,542,923,316
  4. Step 4: Simplify right side
    67,478,868,722x = 19,752,313,294,207,057,920,000
  5. Step 5: Solve for x
    x = 19,752,313,294,207,057,920,000/67,478,868,722
  6. Step 6: Final answer
    x = 292,718,500,892.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.