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Finding the Third Proportional to 5,306,684 and 8,004,414

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Solution

The third proportional to 5,306,684 and 8,004,414 is: 12,073,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,684 : 8,004,414 = 8,004,414 : x
  2. Step 2: Convert to fraction form
    5,306,684/8,004,414 = 8,004,414/x
  3. Step 3: Cross multiply
    5,306,684x = 8,004,414 × 8,004,414
  4. Step 4: Simplify right side
    5,306,684x = 64,070,643,483,396
  5. Step 5: Solve for x
    x = 64,070,643,483,396/5,306,684
  6. Step 6: Final answer
    x = 12,073,574.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.