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Finding the Third Proportional to 23,169,564 and 31,467,264.75

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Solution

The third proportional to 23,169,564 and 31,467,264.75 is: 42,736,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169,564 : 31,467,264.75 = 31,467,264.75 : x
  2. Step 2: Convert to fraction form
    23,169,564/31,467,264.75 = 31,467,264.75/x
  3. Step 3: Cross multiply
    23,169,564x = 31,467,264.75 × 31,467,264.75
  4. Step 4: Simplify right side
    23,169,564x = 990,188,750,846,592.50
  5. Step 5: Solve for x
    x = 990,188,750,846,592.50/23,169,564
  6. Step 6: Final answer
    x = 42,736,615.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.