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Finding the Third Proportional to 6,535,972 and 9,584,214

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Solution

The third proportional to 6,535,972 and 9,584,214 is: 14,054,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535,972 : 9,584,214 = 9,584,214 : x
  2. Step 2: Convert to fraction form
    6,535,972/9,584,214 = 9,584,214/x
  3. Step 3: Cross multiply
    6,535,972x = 9,584,214 × 9,584,214
  4. Step 4: Simplify right side
    6,535,972x = 91,857,157,997,796
  5. Step 5: Solve for x
    x = 91,857,157,997,796/6,535,972
  6. Step 6: Final answer
    x = 14,054,092.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.