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Finding the Third Proportional to 4,592,330,067,396 and 9,839,693,305,518

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Solution

The third proportional to 4,592,330,067,396 and 9,839,693,305,518 is: 21,082,884,489,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592,330,067,396 : 9,839,693,305,518 = 9,839,693,305,518 : x
  2. Step 2: Convert to fraction form
    4,592,330,067,396/9,839,693,305,518 = 9,839,693,305,518/x
  3. Step 3: Cross multiply
    4,592,330,067,396x = 9,839,693,305,518 × 9,839,693,305,518
  4. Step 4: Simplify right side
    4,592,330,067,396x = 96,819,564,346,655,742,344,822,784
  5. Step 5: Solve for x
    x = 96,819,564,346,655,742,344,822,784/4,592,330,067,396
  6. Step 6: Final answer
    x = 21,082,884,489,083.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.