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Finding the Third Proportional to 1,000,223,981,652 and 2,145,646,817,452

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Solution

The third proportional to 1,000,223,981,652 and 2,145,646,817,452 is: 4,602,769,329,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,223,981,652 : 2,145,646,817,452 = 2,145,646,817,452 : x
  2. Step 2: Convert to fraction form
    1,000,223,981,652/2,145,646,817,452 = 2,145,646,817,452/x
  3. Step 3: Cross multiply
    1,000,223,981,652x = 2,145,646,817,452 × 2,145,646,817,452
  4. Step 4: Simplify right side
    1,000,223,981,652x = 4,603,800,265,241,896,033,452,032
  5. Step 5: Solve for x
    x = 4,603,800,265,241,896,033,452,032/1,000,223,981,652
  6. Step 6: Final answer
    x = 4,602,769,329,363.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.