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Finding the Third Proportional to 897,613,526,524 and 1,974,747,573,368

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Solution

The third proportional to 897,613,526,524 and 1,974,747,573,368 is: 4,344,439,854,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,613,526,524 : 1,974,747,573,368 = 1,974,747,573,368 : x
  2. Step 2: Convert to fraction form
    897,613,526,524/1,974,747,573,368 = 1,974,747,573,368/x
  3. Step 3: Cross multiply
    897,613,526,524x = 1,974,747,573,368 × 1,974,747,573,368
  4. Step 4: Simplify right side
    897,613,526,524x = 3,899,627,978,522,804,774,502,400
  5. Step 5: Solve for x
    x = 3,899,627,978,522,804,774,502,400/897,613,526,524
  6. Step 6: Final answer
    x = 4,344,439,854,448.36

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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.