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Finding the Third Proportional to 11,921,260 and 25,748,078

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Solution

The third proportional to 11,921,260 and 25,748,078 is: 55,611,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921,260 : 25,748,078 = 25,748,078 : x
  2. Step 2: Convert to fraction form
    11,921,260/25,748,078 = 25,748,078/x
  3. Step 3: Cross multiply
    11,921,260x = 25,748,078 × 25,748,078
  4. Step 4: Simplify right side
    11,921,260x = 662,963,520,694,084
  5. Step 5: Solve for x
    x = 662,963,520,694,084/11,921,260
  6. Step 6: Final answer
    x = 55,611,866.59

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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.