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Finding the Third Proportional to 3,047,776.88 and 4,151,214.56

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Solution

The third proportional to 3,047,776.88 and 4,151,214.56 is: 5,654,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047,776.88 : 4,151,214.56 = 4,151,214.56 : x
  2. Step 2: Convert to fraction form
    3,047,776.88/4,151,214.56 = 4,151,214.56/x
  3. Step 3: Cross multiply
    3,047,776.88x = 4,151,214.56 × 4,151,214.56
  4. Step 4: Simplify right side
    3,047,776.88x = 17,232,582,343,912.07
  5. Step 5: Solve for x
    x = 17,232,582,343,912.07/3,047,776.88
  6. Step 6: Final answer
    x = 5,654,148.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.