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Finding the Third Proportional to 6,105,952.13 and 12,714,337.13

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Solution

The third proportional to 6,105,952.13 and 12,714,337.13 is: 26,474,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105,952.13 : 12,714,337.13 = 12,714,337.13 : x
  2. Step 2: Convert to fraction form
    6,105,952.13/12,714,337.13 = 12,714,337.13/x
  3. Step 3: Cross multiply
    6,105,952.13x = 12,714,337.13 × 12,714,337.13
  4. Step 4: Simplify right side
    6,105,952.13x = 161,654,368,528,153.25
  5. Step 5: Solve for x
    x = 161,654,368,528,153.25/6,105,952.13
  6. Step 6: Final answer
    x = 26,474,883.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.