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Finding the Third Proportional to 2,281,306.78 and 4,886,449.03

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Solution

The third proportional to 2,281,306.78 and 4,886,449.03 is: 10,466,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,306.78 : 4,886,449.03 = 4,886,449.03 : x
  2. Step 2: Convert to fraction form
    2,281,306.78/4,886,449.03 = 4,886,449.03/x
  3. Step 3: Cross multiply
    2,281,306.78x = 4,886,449.03 × 4,886,449.03
  4. Step 4: Simplify right side
    2,281,306.78x = 23,877,384,135,004.06
  5. Step 5: Solve for x
    x = 23,877,384,135,004.06/2,281,306.78
  6. Step 6: Final answer
    x = 10,466,538.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.