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Finding the Third Proportional to 2,835,384 and 6,221,934

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Solution

The third proportional to 2,835,384 and 6,221,934 is: 13,653,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835,384 : 6,221,934 = 6,221,934 : x
  2. Step 2: Convert to fraction form
    2,835,384/6,221,934 = 6,221,934/x
  3. Step 3: Cross multiply
    2,835,384x = 6,221,934 × 6,221,934
  4. Step 4: Simplify right side
    2,835,384x = 38,712,462,700,356
  5. Step 5: Solve for x
    x = 38,712,462,700,356/2,835,384
  6. Step 6: Final answer
    x = 13,653,340.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.