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Finding the Third Proportional to 6,154,506 and 14,246,579.25

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Solution

The third proportional to 6,154,506 and 14,246,579.25 is: 32,978,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154,506 : 14,246,579.25 = 14,246,579.25 : x
  2. Step 2: Convert to fraction form
    6,154,506/14,246,579.25 = 14,246,579.25/x
  3. Step 3: Cross multiply
    6,154,506x = 14,246,579.25 × 14,246,579.25
  4. Step 4: Simplify right side
    6,154,506x = 202,965,020,326,530.56
  5. Step 5: Solve for x
    x = 202,965,020,326,530.56/6,154,506
  6. Step 6: Final answer
    x = 32,978,279.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.