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Finding the Third Proportional to 6,257,484 and 9,673,506

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Solution

The third proportional to 6,257,484 and 9,673,506 is: 14,954,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257,484 : 9,673,506 = 9,673,506 : x
  2. Step 2: Convert to fraction form
    6,257,484/9,673,506 = 9,673,506/x
  3. Step 3: Cross multiply
    6,257,484x = 9,673,506 × 9,673,506
  4. Step 4: Simplify right side
    6,257,484x = 93,576,718,332,036
  5. Step 5: Solve for x
    x = 93,576,718,332,036/6,257,484
  6. Step 6: Final answer
    x = 14,954,367.97

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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.