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Finding the Third Proportional to 23,645,919.75 and 35,638,011

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Solution

The third proportional to 23,645,919.75 and 35,638,011 is: 53,711,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645,919.75 : 35,638,011 = 35,638,011 : x
  2. Step 2: Convert to fraction form
    23,645,919.75/35,638,011 = 35,638,011/x
  3. Step 3: Cross multiply
    23,645,919.75x = 35,638,011 × 35,638,011
  4. Step 4: Simplify right side
    23,645,919.75x = 1,270,067,828,036,121
  5. Step 5: Solve for x
    x = 1,270,067,828,036,121/23,645,919.75
  6. Step 6: Final answer
    x = 53,711,923.30

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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.