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Finding the Third Proportional to 9,432,354 and 20,209,470

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Solution

The third proportional to 9,432,354 and 20,209,470 is: 43,300,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432,354 : 20,209,470 = 20,209,470 : x
  2. Step 2: Convert to fraction form
    9,432,354/20,209,470 = 20,209,470/x
  3. Step 3: Cross multiply
    9,432,354x = 20,209,470 × 20,209,470
  4. Step 4: Simplify right side
    9,432,354x = 408,422,677,680,900
  5. Step 5: Solve for x
    x = 408,422,677,680,900/9,432,354
  6. Step 6: Final answer
    x = 43,300,185.48

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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.