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Finding the Third Proportional to 23,960,022.75 and 52,478,862.19

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Solution

The third proportional to 23,960,022.75 and 52,478,862.19 is: 114,942,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,960,022.75 : 52,478,862.19 = 52,478,862.19 : x
  2. Step 2: Convert to fraction form
    23,960,022.75/52,478,862.19 = 52,478,862.19/x
  3. Step 3: Cross multiply
    23,960,022.75x = 52,478,862.19 × 52,478,862.19
  4. Step 4: Simplify right side
    23,960,022.75x = 2,754,030,976,494,617.50
  5. Step 5: Solve for x
    x = 2,754,030,976,494,617.50/23,960,022.75
  6. Step 6: Final answer
    x = 114,942,752.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.