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Finding the Third Proportional to 23,645,920.50 and 35,638,012.13

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Solution

The third proportional to 23,645,920.50 and 35,638,012.13 is: 53,711,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645,920.50 : 35,638,012.13 = 35,638,012.13 : x
  2. Step 2: Convert to fraction form
    23,645,920.50/35,638,012.13 = 35,638,012.13/x
  3. Step 3: Cross multiply
    23,645,920.50x = 35,638,012.13 × 35,638,012.13
  4. Step 4: Simplify right side
    23,645,920.50x = 1,270,067,908,221,647
  5. Step 5: Solve for x
    x = 1,270,067,908,221,647/23,645,920.50
  6. Step 6: Final answer
    x = 53,711,924.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.