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Finding the Third Proportional to 8,211,643 and 19,384,354.13

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Solution

The third proportional to 8,211,643 and 19,384,354.13 is: 45,758,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211,643 : 19,384,354.13 = 19,384,354.13 : x
  2. Step 2: Convert to fraction form
    8,211,643/19,384,354.13 = 19,384,354.13/x
  3. Step 3: Cross multiply
    8,211,643x = 19,384,354.13 × 19,384,354.13
  4. Step 4: Simplify right side
    8,211,643x = 375,753,184,843,404.50
  5. Step 5: Solve for x
    x = 375,753,184,843,404.50/8,211,643
  6. Step 6: Final answer
    x = 45,758,587.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.