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Finding the Third Proportional to 664,669,656 and 1,446,374,432

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Solution

The third proportional to 664,669,656 and 1,446,374,432 is: 3,147,426,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,669,656 : 1,446,374,432 = 1,446,374,432 : x
  2. Step 2: Convert to fraction form
    664,669,656/1,446,374,432 = 1,446,374,432/x
  3. Step 3: Cross multiply
    664,669,656x = 1,446,374,432 × 1,446,374,432
  4. Step 4: Simplify right side
    664,669,656x = 2,091,998,997,543,322,624
  5. Step 5: Solve for x
    x = 2,091,998,997,543,322,624/664,669,656
  6. Step 6: Final answer
    x = 3,147,426,663.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.