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Finding the Third Proportional to 2,160,551 and 4,656,057

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Solution

The third proportional to 2,160,551 and 4,656,057 is: 10,033,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,551 : 4,656,057 = 4,656,057 : x
  2. Step 2: Convert to fraction form
    2,160,551/4,656,057 = 4,656,057/x
  3. Step 3: Cross multiply
    2,160,551x = 4,656,057 × 4,656,057
  4. Step 4: Simplify right side
    2,160,551x = 21,678,866,787,249
  5. Step 5: Solve for x
    x = 21,678,866,787,249/2,160,551
  6. Step 6: Final answer
    x = 10,033,952.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.