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Finding the Third Proportional to 6,343,290 and 9,663,645

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Solution

The third proportional to 6,343,290 and 9,663,645 is: 14,722,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,290 : 9,663,645 = 9,663,645 : x
  2. Step 2: Convert to fraction form
    6,343,290/9,663,645 = 9,663,645/x
  3. Step 3: Cross multiply
    6,343,290x = 9,663,645 × 9,663,645
  4. Step 4: Simplify right side
    6,343,290x = 93,386,034,686,025
  5. Step 5: Solve for x
    x = 93,386,034,686,025/6,343,290
  6. Step 6: Final answer
    x = 14,722,018.81

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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.