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Finding the Third Proportional to 2,835,397.50 and 6,221,919

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Solution

The third proportional to 2,835,397.50 and 6,221,919 is: 13,653,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835,397.50 : 6,221,919 = 6,221,919 : x
  2. Step 2: Convert to fraction form
    2,835,397.50/6,221,919 = 6,221,919/x
  3. Step 3: Cross multiply
    2,835,397.50x = 6,221,919 × 6,221,919
  4. Step 4: Simplify right side
    2,835,397.50x = 38,712,276,042,561
  5. Step 5: Solve for x
    x = 38,712,276,042,561/2,835,397.50
  6. Step 6: Final answer
    x = 13,653,209.49

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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.