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Finding the Third Proportional to 4,046,951 and 8,670,820

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Solution

The third proportional to 4,046,951 and 8,670,820 is: 18,577,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,951 : 8,670,820 = 8,670,820 : x
  2. Step 2: Convert to fraction form
    4,046,951/8,670,820 = 8,670,820/x
  3. Step 3: Cross multiply
    4,046,951x = 8,670,820 × 8,670,820
  4. Step 4: Simplify right side
    4,046,951x = 75,183,119,472,400
  5. Step 5: Solve for x
    x = 75,183,119,472,400/4,046,951
  6. Step 6: Final answer
    x = 18,577,719.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.