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Finding the Third Proportional to 1,100,306,846 and 1,646,098,017

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Solution

The third proportional to 1,100,306,846 and 1,646,098,017 is: 2,462,620,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,306,846 : 1,646,098,017 = 1,646,098,017 : x
  2. Step 2: Convert to fraction form
    1,100,306,846/1,646,098,017 = 1,646,098,017/x
  3. Step 3: Cross multiply
    1,100,306,846x = 1,646,098,017 × 1,646,098,017
  4. Step 4: Simplify right side
    1,100,306,846x = 2,709,638,681,571,332,096
  5. Step 5: Solve for x
    x = 2,709,638,681,571,332,096/1,100,306,846
  6. Step 6: Final answer
    x = 2,462,620,941.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.