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Finding the Third Proportional to 15,413,184 and 33,539,716.13

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Solution

The third proportional to 15,413,184 and 33,539,716.13 is: 72,983,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413,184 : 33,539,716.13 = 33,539,716.13 : x
  2. Step 2: Convert to fraction form
    15,413,184/33,539,716.13 = 33,539,716.13/x
  3. Step 3: Cross multiply
    15,413,184x = 33,539,716.13 × 33,539,716.13
  4. Step 4: Simplify right side
    15,413,184x = 1,124,912,557,745,585
  5. Step 5: Solve for x
    x = 1,124,912,557,745,585/15,413,184
  6. Step 6: Final answer
    x = 72,983,788.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.