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Finding the Third Proportional to 862,145,947.13 and 1,887,510,529.13

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Solution

The third proportional to 862,145,947.13 and 1,887,510,529.13 is: 4,132,358,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,145,947.13 : 1,887,510,529.13 = 1,887,510,529.13 : x
  2. Step 2: Convert to fraction form
    862,145,947.13/1,887,510,529.13 = 1,887,510,529.13/x
  3. Step 3: Cross multiply
    862,145,947.13x = 1,887,510,529.13 × 1,887,510,529.13
  4. Step 4: Simplify right side
    862,145,947.13x = 3,562,695,997,557,737,472
  5. Step 5: Solve for x
    x = 3,562,695,997,557,737,472/862,145,947.13
  6. Step 6: Final answer
    x = 4,132,358,343.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.