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Finding the Third Proportional to 6,329,452 and 9,806,920

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Solution

The third proportional to 6,329,452 and 9,806,920 is: 15,194,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329,452 : 9,806,920 = 9,806,920 : x
  2. Step 2: Convert to fraction form
    6,329,452/9,806,920 = 9,806,920/x
  3. Step 3: Cross multiply
    6,329,452x = 9,806,920 × 9,806,920
  4. Step 4: Simplify right side
    6,329,452x = 96,175,679,886,400
  5. Step 5: Solve for x
    x = 96,175,679,886,400/6,329,452
  6. Step 6: Final answer
    x = 15,194,945.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.