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Finding the Third Proportional to 6,456,444 and 9,650,205

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Solution

The third proportional to 6,456,444 and 9,650,205 is: 14,423,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456,444 : 9,650,205 = 9,650,205 : x
  2. Step 2: Convert to fraction form
    6,456,444/9,650,205 = 9,650,205/x
  3. Step 3: Cross multiply
    6,456,444x = 9,650,205 × 9,650,205
  4. Step 4: Simplify right side
    6,456,444x = 93,126,456,542,025
  5. Step 5: Solve for x
    x = 93,126,456,542,025/6,456,444
  6. Step 6: Final answer
    x = 14,423,799.93

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Why These Related Problems?

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