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Finding the Third Proportional to 1,916,720,882 and 2,944,317,975

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Solution

The third proportional to 1,916,720,882 and 2,944,317,975 is: 4,522,832,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916,720,882 : 2,944,317,975 = 2,944,317,975 : x
  2. Step 2: Convert to fraction form
    1,916,720,882/2,944,317,975 = 2,944,317,975/x
  3. Step 3: Cross multiply
    1,916,720,882x = 2,944,317,975 × 2,944,317,975
  4. Step 4: Simplify right side
    1,916,720,882x = 8,669,008,337,908,101,120
  5. Step 5: Solve for x
    x = 8,669,008,337,908,101,120/1,916,720,882
  6. Step 6: Final answer
    x = 4,522,832,937.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.