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Finding the Third Proportional to 23,205,321 and 49,176,832

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Solution

The third proportional to 23,205,321 and 49,176,832 is: 104,215,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205,321 : 49,176,832 = 49,176,832 : x
  2. Step 2: Convert to fraction form
    23,205,321/49,176,832 = 49,176,832/x
  3. Step 3: Cross multiply
    23,205,321x = 49,176,832 × 49,176,832
  4. Step 4: Simplify right side
    23,205,321x = 2,418,360,805,556,224
  5. Step 5: Solve for x
    x = 2,418,360,805,556,224/23,205,321
  6. Step 6: Final answer
    x = 104,215,787.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.