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Finding the Third Proportional to 51,987,966 and 112,645,024.50

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Solution

The third proportional to 51,987,966 and 112,645,024.50 is: 244,073,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987,966 : 112,645,024.50 = 112,645,024.50 : x
  2. Step 2: Convert to fraction form
    51,987,966/112,645,024.50 = 112,645,024.50/x
  3. Step 3: Cross multiply
    51,987,966x = 112,645,024.50 × 112,645,024.50
  4. Step 4: Simplify right side
    51,987,966x = 12,688,901,544,605,600
  5. Step 5: Solve for x
    x = 12,688,901,544,605,600/51,987,966
  6. Step 6: Final answer
    x = 244,073,821.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.