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Finding the Third Proportional to 44,868,002,676 and 96,899,894,959

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Solution

The third proportional to 44,868,002,676 and 96,899,894,959 is: 209,271,397,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,868,002,676 : 96,899,894,959 = 96,899,894,959 : x
  2. Step 2: Convert to fraction form
    44,868,002,676/96,899,894,959 = 96,899,894,959/x
  3. Step 3: Cross multiply
    44,868,002,676x = 96,899,894,959 × 96,899,894,959
  4. Step 4: Simplify right side
    44,868,002,676x = 9,389,589,643,065,234,030,592
  5. Step 5: Solve for x
    x = 9,389,589,643,065,234,030,592/44,868,002,676
  6. Step 6: Final answer
    x = 209,271,397,946.31

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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.