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Finding the Third Proportional to 4,305,636 and 9,229,464

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Solution

The third proportional to 4,305,636 and 9,229,464 is: 19,784,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,636 : 9,229,464 = 9,229,464 : x
  2. Step 2: Convert to fraction form
    4,305,636/9,229,464 = 9,229,464/x
  3. Step 3: Cross multiply
    4,305,636x = 9,229,464 × 9,229,464
  4. Step 4: Simplify right side
    4,305,636x = 85,183,005,727,296
  5. Step 5: Solve for x
    x = 85,183,005,727,296/4,305,636
  6. Step 6: Final answer
    x = 19,784,070.40

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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.