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Finding the Third Proportional to 2,921,657,580 and 5,945,351,508

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Solution

The third proportional to 2,921,657,580 and 5,945,351,508 is: 12,098,339,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921,657,580 : 5,945,351,508 = 5,945,351,508 : x
  2. Step 2: Convert to fraction form
    2,921,657,580/5,945,351,508 = 5,945,351,508/x
  3. Step 3: Cross multiply
    2,921,657,580x = 5,945,351,508 × 5,945,351,508
  4. Step 4: Simplify right side
    2,921,657,580x = 35,347,204,553,677,873,152
  5. Step 5: Solve for x
    x = 35,347,204,553,677,873,152/2,921,657,580
  6. Step 6: Final answer
    x = 12,098,339,242.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.