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Finding the Third Proportional to 6,257,464 and 9,673,480

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Solution

The third proportional to 6,257,464 and 9,673,480 is: 14,954,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257,464 : 9,673,480 = 9,673,480 : x
  2. Step 2: Convert to fraction form
    6,257,464/9,673,480 = 9,673,480/x
  3. Step 3: Cross multiply
    6,257,464x = 9,673,480 × 9,673,480
  4. Step 4: Simplify right side
    6,257,464x = 93,576,215,310,400
  5. Step 5: Solve for x
    x = 93,576,215,310,400/6,257,464
  6. Step 6: Final answer
    x = 14,954,335.38

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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.