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Finding the Third Proportional to 2,162,438.02 and 4,756,535.16

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Solution

The third proportional to 2,162,438.02 and 4,756,535.16 is: 10,462,555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162,438.02 : 4,756,535.16 = 4,756,535.16 : x
  2. Step 2: Convert to fraction form
    2,162,438.02/4,756,535.16 = 4,756,535.16/x
  3. Step 3: Cross multiply
    2,162,438.02x = 4,756,535.16 × 4,756,535.16
  4. Step 4: Simplify right side
    2,162,438.02x = 22,624,626,692,642.21
  5. Step 5: Solve for x
    x = 22,624,626,692,642.21/2,162,438.02
  6. Step 6: Final answer
    x = 10,462,555.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.