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Finding the Third Proportional to 6,456,438 and 9,650,196

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Solution

The third proportional to 6,456,438 and 9,650,196 is: 14,423,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456,438 : 9,650,196 = 9,650,196 : x
  2. Step 2: Convert to fraction form
    6,456,438/9,650,196 = 9,650,196/x
  3. Step 3: Cross multiply
    6,456,438x = 9,650,196 × 9,650,196
  4. Step 4: Simplify right side
    6,456,438x = 93,126,282,838,416
  5. Step 5: Solve for x
    x = 93,126,282,838,416/6,456,438
  6. Step 6: Final answer
    x = 14,423,786.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.