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Finding the Third Proportional to 4,723,033 and 9,782,133

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Solution

The third proportional to 4,723,033 and 9,782,133 is: 20,260,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,033 : 9,782,133 = 9,782,133 : x
  2. Step 2: Convert to fraction form
    4,723,033/9,782,133 = 9,782,133/x
  3. Step 3: Cross multiply
    4,723,033x = 9,782,133 × 9,782,133
  4. Step 4: Simplify right side
    4,723,033x = 95,690,126,029,689
  5. Step 5: Solve for x
    x = 95,690,126,029,689/4,723,033
  6. Step 6: Final answer
    x = 20,260,312.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.