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Finding the Third Proportional to 2,835,376 and 6,221,922

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Solution

The third proportional to 2,835,376 and 6,221,922 is: 13,653,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835,376 : 6,221,922 = 6,221,922 : x
  2. Step 2: Convert to fraction form
    2,835,376/6,221,922 = 6,221,922/x
  3. Step 3: Cross multiply
    2,835,376x = 6,221,922 × 6,221,922
  4. Step 4: Simplify right side
    2,835,376x = 38,712,313,374,084
  5. Step 5: Solve for x
    x = 38,712,313,374,084/2,835,376
  6. Step 6: Final answer
    x = 13,653,326.18

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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.