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Finding the Third Proportional to 5,928,624 and 12,756,024

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Solution

The third proportional to 5,928,624 and 12,756,024 is: 27,445,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928,624 : 12,756,024 = 12,756,024 : x
  2. Step 2: Convert to fraction form
    5,928,624/12,756,024 = 12,756,024/x
  3. Step 3: Cross multiply
    5,928,624x = 12,756,024 × 12,756,024
  4. Step 4: Simplify right side
    5,928,624x = 162,716,148,288,576
  5. Step 5: Solve for x
    x = 162,716,148,288,576/5,928,624
  6. Step 6: Final answer
    x = 27,445,853.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.