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Finding the Third Proportional to 2,656,199.47 and 5,631,607.36

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Solution

The third proportional to 2,656,199.47 and 5,631,607.36 is: 11,939,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,199.47 : 5,631,607.36 = 5,631,607.36 : x
  2. Step 2: Convert to fraction form
    2,656,199.47/5,631,607.36 = 5,631,607.36/x
  3. Step 3: Cross multiply
    2,656,199.47x = 5,631,607.36 × 5,631,607.36
  4. Step 4: Simplify right side
    2,656,199.47x = 31,715,001,452,230.09
  5. Step 5: Solve for x
    x = 31,715,001,452,230.09/2,656,199.47
  6. Step 6: Final answer
    x = 11,939,992.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.