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Finding the Third Proportional to 6,774,664,961.25 and 14,675,069,583

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Solution

The third proportional to 6,774,664,961.25 and 14,675,069,583 is: 31,788,681,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,664,961.25 : 14,675,069,583 = 14,675,069,583 : x
  2. Step 2: Convert to fraction form
    6,774,664,961.25/14,675,069,583 = 14,675,069,583/x
  3. Step 3: Cross multiply
    6,774,664,961.25x = 14,675,069,583 × 14,675,069,583
  4. Step 4: Simplify right side
    6,774,664,961.25x = 215,357,667,265,891,794,944
  5. Step 5: Solve for x
    x = 215,357,667,265,891,794,944/6,774,664,961.25
  6. Step 6: Final answer
    x = 31,788,681,580.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.