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Finding the Third Proportional to 22,750,384.50 and 48,689,416.13

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Solution

The third proportional to 22,750,384.50 and 48,689,416.13 is: 104,203,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,750,384.50 : 48,689,416.13 = 48,689,416.13 : x
  2. Step 2: Convert to fraction form
    22,750,384.50/48,689,416.13 = 48,689,416.13/x
  3. Step 3: Cross multiply
    22,750,384.50x = 48,689,416.13 × 48,689,416.13
  4. Step 4: Simplify right side
    22,750,384.50x = 2,370,659,242,593,410
  5. Step 5: Solve for x
    x = 2,370,659,242,593,410/22,750,384.50
  6. Step 6: Final answer
    x = 104,203,040.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.