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Finding the Third Proportional to 5,053,286 and 7,775,106

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Solution

The third proportional to 5,053,286 and 7,775,106 is: 11,962,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053,286 : 7,775,106 = 7,775,106 : x
  2. Step 2: Convert to fraction form
    5,053,286/7,775,106 = 7,775,106/x
  3. Step 3: Cross multiply
    5,053,286x = 7,775,106 × 7,775,106
  4. Step 4: Simplify right side
    5,053,286x = 60,452,273,311,236
  5. Step 5: Solve for x
    x = 60,452,273,311,236/5,053,286
  6. Step 6: Final answer
    x = 11,962,962.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.