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Finding the Third Proportional to 24,865,021.25 and 52,306,718.25

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Solution

The third proportional to 24,865,021.25 and 52,306,718.25 is: 110,033,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865,021.25 : 52,306,718.25 = 52,306,718.25 : x
  2. Step 2: Convert to fraction form
    24,865,021.25/52,306,718.25 = 52,306,718.25/x
  3. Step 3: Cross multiply
    24,865,021.25x = 52,306,718.25 × 52,306,718.25
  4. Step 4: Simplify right side
    24,865,021.25x = 2,735,992,774,084,883
  5. Step 5: Solve for x
    x = 2,735,992,774,084,883/24,865,021.25
  6. Step 6: Final answer
    x = 110,033,799.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.