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Finding the Third Proportional to 4,700,163 and 6,341,628

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Solution

The third proportional to 4,700,163 and 6,341,628 is: 8,556,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700,163 : 6,341,628 = 6,341,628 : x
  2. Step 2: Convert to fraction form
    4,700,163/6,341,628 = 6,341,628/x
  3. Step 3: Cross multiply
    4,700,163x = 6,341,628 × 6,341,628
  4. Step 4: Simplify right side
    4,700,163x = 40,216,245,690,384
  5. Step 5: Solve for x
    x = 40,216,245,690,384/4,700,163
  6. Step 6: Final answer
    x = 8,556,351.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.