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Finding the Third Proportional to 3,158,474.63 and 6,466,570.88

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Solution

The third proportional to 3,158,474.63 and 6,466,570.88 is: 13,239,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,474.63 : 6,466,570.88 = 6,466,570.88 : x
  2. Step 2: Convert to fraction form
    3,158,474.63/6,466,570.88 = 6,466,570.88/x
  3. Step 3: Cross multiply
    3,158,474.63x = 6,466,570.88 × 6,466,570.88
  4. Step 4: Simplify right side
    3,158,474.63x = 41,816,538,881,398.27
  5. Step 5: Solve for x
    x = 41,816,538,881,398.27/3,158,474.63
  6. Step 6: Final answer
    x = 13,239,472.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.