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Finding the Third Proportional to 44,016,295,500 and 96,679,711,656

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Solution

The third proportional to 44,016,295,500 and 96,679,711,656 is: 212,352,414,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,016,295,500 : 96,679,711,656 = 96,679,711,656 : x
  2. Step 2: Convert to fraction form
    44,016,295,500/96,679,711,656 = 96,679,711,656/x
  3. Step 3: Cross multiply
    44,016,295,500x = 96,679,711,656 × 96,679,711,656
  4. Step 4: Simplify right side
    44,016,295,500x = 9,346,966,645,887,301,844,992
  5. Step 5: Solve for x
    x = 9,346,966,645,887,301,844,992/44,016,295,500
  6. Step 6: Final answer
    x = 212,352,414,934.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.