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Finding the Third Proportional to 1,009,566,096 and 1,597,240,872

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Solution

The third proportional to 1,009,566,096 and 1,597,240,872 is: 2,527,004,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,566,096 : 1,597,240,872 = 1,597,240,872 : x
  2. Step 2: Convert to fraction form
    1,009,566,096/1,597,240,872 = 1,597,240,872/x
  3. Step 3: Cross multiply
    1,009,566,096x = 1,597,240,872 × 1,597,240,872
  4. Step 4: Simplify right side
    1,009,566,096x = 2,551,178,403,187,320,320
  5. Step 5: Solve for x
    x = 2,551,178,403,187,320,320/1,009,566,096
  6. Step 6: Final answer
    x = 2,527,004,832.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.