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Finding the Third Proportional to 5,026,477.78 and 7,767,190.30

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Solution

The third proportional to 5,026,477.78 and 7,767,190.30 is: 12,002,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026,477.78 : 7,767,190.30 = 7,767,190.30 : x
  2. Step 2: Convert to fraction form
    5,026,477.78/7,767,190.30 = 7,767,190.30/x
  3. Step 3: Cross multiply
    5,026,477.78x = 7,767,190.30 × 7,767,190.30
  4. Step 4: Simplify right side
    5,026,477.78x = 60,329,245,168,552.66
  5. Step 5: Solve for x
    x = 60,329,245,168,552.66/5,026,477.78
  6. Step 6: Final answer
    x = 12,002,290.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.