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Finding the Third Proportional to 6,917,406.75 and 9,853,974

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Solution

The third proportional to 6,917,406.75 and 9,853,974 is: 14,037,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,406.75 : 9,853,974 = 9,853,974 : x
  2. Step 2: Convert to fraction form
    6,917,406.75/9,853,974 = 9,853,974/x
  3. Step 3: Cross multiply
    6,917,406.75x = 9,853,974 × 9,853,974
  4. Step 4: Simplify right side
    6,917,406.75x = 97,100,803,592,676
  5. Step 5: Solve for x
    x = 97,100,803,592,676/6,917,406.75
  6. Step 6: Final answer
    x = 14,037,168.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.