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Finding the Third Proportional to 6,343,920 and 9,043,488

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Solution

The third proportional to 6,343,920 and 9,043,488 is: 12,891,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,920 : 9,043,488 = 9,043,488 : x
  2. Step 2: Convert to fraction form
    6,343,920/9,043,488 = 9,043,488/x
  3. Step 3: Cross multiply
    6,343,920x = 9,043,488 × 9,043,488
  4. Step 4: Simplify right side
    6,343,920x = 81,784,675,206,144
  5. Step 5: Solve for x
    x = 81,784,675,206,144/6,343,920
  6. Step 6: Final answer
    x = 12,891,820.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.