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Finding the Third Proportional to 1,102,978,952 and 2,389,775,200

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Solution

The third proportional to 1,102,978,952 and 2,389,775,200 is: 5,177,819,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,978,952 : 2,389,775,200 = 2,389,775,200 : x
  2. Step 2: Convert to fraction form
    1,102,978,952/2,389,775,200 = 2,389,775,200/x
  3. Step 3: Cross multiply
    1,102,978,952x = 2,389,775,200 × 2,389,775,200
  4. Step 4: Simplify right side
    1,102,978,952x = 5,711,025,506,535,040,000
  5. Step 5: Solve for x
    x = 5,711,025,506,535,040,000/1,102,978,952
  6. Step 6: Final answer
    x = 5,177,819,119.92

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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.