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Finding the Third Proportional to 6,685,324 and 10,334,658

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Solution

The third proportional to 6,685,324 and 10,334,658 is: 15,976,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,324 : 10,334,658 = 10,334,658 : x
  2. Step 2: Convert to fraction form
    6,685,324/10,334,658 = 10,334,658/x
  3. Step 3: Cross multiply
    6,685,324x = 10,334,658 × 10,334,658
  4. Step 4: Simplify right side
    6,685,324x = 106,805,155,976,964
  5. Step 5: Solve for x
    x = 106,805,155,976,964/6,685,324
  6. Step 6: Final answer
    x = 15,976,062.79

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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.