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Finding the Third Proportional to 1,297,121,035,422 and 2,789,454,326,538

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Solution

The third proportional to 1,297,121,035,422 and 2,789,454,326,538 is: 5,998,711,937,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,121,035,422 : 2,789,454,326,538 = 2,789,454,326,538 : x
  2. Step 2: Convert to fraction form
    1,297,121,035,422/2,789,454,326,538 = 2,789,454,326,538/x
  3. Step 3: Cross multiply
    1,297,121,035,422x = 2,789,454,326,538 × 2,789,454,326,538
  4. Step 4: Simplify right side
    1,297,121,035,422x = 7,781,055,439,841,567,233,277,952
  5. Step 5: Solve for x
    x = 7,781,055,439,841,567,233,277,952/1,297,121,035,422
  6. Step 6: Final answer
    x = 5,998,711,937,710.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.