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Finding the Third Proportional to 6,553,728 and 10,175,648

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Solution

The third proportional to 6,553,728 and 10,175,648 is: 15,799,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,728 : 10,175,648 = 10,175,648 : x
  2. Step 2: Convert to fraction form
    6,553,728/10,175,648 = 10,175,648/x
  3. Step 3: Cross multiply
    6,553,728x = 10,175,648 × 10,175,648
  4. Step 4: Simplify right side
    6,553,728x = 103,543,812,219,904
  5. Step 5: Solve for x
    x = 103,543,812,219,904/6,553,728
  6. Step 6: Final answer
    x = 15,799,223.32

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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.