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Finding the Third Proportional to 5,650,728 and 12,376,360

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Solution

The third proportional to 5,650,728 and 12,376,360 is: 27,107,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650,728 : 12,376,360 = 12,376,360 : x
  2. Step 2: Convert to fraction form
    5,650,728/12,376,360 = 12,376,360/x
  3. Step 3: Cross multiply
    5,650,728x = 12,376,360 × 12,376,360
  4. Step 4: Simplify right side
    5,650,728x = 153,174,286,849,600
  5. Step 5: Solve for x
    x = 153,174,286,849,600/5,650,728
  6. Step 6: Final answer
    x = 27,107,000.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.