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Finding the Third Proportional to 6,917,410 and 9,853,980

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Solution

The third proportional to 6,917,410 and 9,853,980 is: 14,037,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,410 : 9,853,980 = 9,853,980 : x
  2. Step 2: Convert to fraction form
    6,917,410/9,853,980 = 9,853,980/x
  3. Step 3: Cross multiply
    6,917,410x = 9,853,980 × 9,853,980
  4. Step 4: Simplify right side
    6,917,410x = 97,100,921,840,400
  5. Step 5: Solve for x
    x = 97,100,921,840,400/6,917,410
  6. Step 6: Final answer
    x = 14,037,178.92

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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.