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Finding the Third Proportional to 4,012,471.69 and 8,679,403.13

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Solution

The third proportional to 4,012,471.69 and 8,679,403.13 is: 18,774,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012,471.69 : 8,679,403.13 = 8,679,403.13 : x
  2. Step 2: Convert to fraction form
    4,012,471.69/8,679,403.13 = 8,679,403.13/x
  3. Step 3: Cross multiply
    4,012,471.69x = 8,679,403.13 × 8,679,403.13
  4. Step 4: Simplify right side
    4,012,471.69x = 75,332,038,606,259.77
  5. Step 5: Solve for x
    x = 75,332,038,606,259.77/4,012,471.69
  6. Step 6: Final answer
    x = 18,774,472.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.