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Finding the Third Proportional to 987,357,732 and 2,105,935,452

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Solution

The third proportional to 987,357,732 and 2,105,935,452 is: 4,491,750,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,357,732 : 2,105,935,452 = 2,105,935,452 : x
  2. Step 2: Convert to fraction form
    987,357,732/2,105,935,452 = 2,105,935,452/x
  3. Step 3: Cross multiply
    987,357,732x = 2,105,935,452 × 2,105,935,452
  4. Step 4: Simplify right side
    987,357,732x = 4,434,964,127,990,444,544
  5. Step 5: Solve for x
    x = 4,434,964,127,990,444,544/987,357,732
  6. Step 6: Final answer
    x = 4,491,750,035.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.