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Finding the Third Proportional to 1,164,382,728 and 2,525,226,400

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Solution

The third proportional to 1,164,382,728 and 2,525,226,400 is: 5,476,522,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,382,728 : 2,525,226,400 = 2,525,226,400 : x
  2. Step 2: Convert to fraction form
    1,164,382,728/2,525,226,400 = 2,525,226,400/x
  3. Step 3: Cross multiply
    1,164,382,728x = 2,525,226,400 × 2,525,226,400
  4. Step 4: Simplify right side
    1,164,382,728x = 6,376,768,371,256,960,000
  5. Step 5: Solve for x
    x = 6,376,768,371,256,960,000/1,164,382,728
  6. Step 6: Final answer
    x = 5,476,522,639.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.