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Finding the Third Proportional to 3,669,220 and 8,633,464

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Solution

The third proportional to 3,669,220 and 8,633,464 is: 20,314,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,220 : 8,633,464 = 8,633,464 : x
  2. Step 2: Convert to fraction form
    3,669,220/8,633,464 = 8,633,464/x
  3. Step 3: Cross multiply
    3,669,220x = 8,633,464 × 8,633,464
  4. Step 4: Simplify right side
    3,669,220x = 74,536,700,639,296
  5. Step 5: Solve for x
    x = 74,536,700,639,296/3,669,220
  6. Step 6: Final answer
    x = 20,314,045.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.