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Finding the Third Proportional to 6,345,426 and 9,666,811

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Solution

The third proportional to 6,345,426 and 9,666,811 is: 14,726,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,426 : 9,666,811 = 9,666,811 : x
  2. Step 2: Convert to fraction form
    6,345,426/9,666,811 = 9,666,811/x
  3. Step 3: Cross multiply
    6,345,426x = 9,666,811 × 9,666,811
  4. Step 4: Simplify right side
    6,345,426x = 93,447,234,909,721
  5. Step 5: Solve for x
    x = 93,447,234,909,721/6,345,426
  6. Step 6: Final answer
    x = 14,726,707.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.