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Finding the Third Proportional to 45,454,629 and 68,234,431.50

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Solution

The third proportional to 45,454,629 and 68,234,431.50 is: 102,430,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,454,629 : 68,234,431.50 = 68,234,431.50 : x
  2. Step 2: Convert to fraction form
    45,454,629/68,234,431.50 = 68,234,431.50/x
  3. Step 3: Cross multiply
    45,454,629x = 68,234,431.50 × 68,234,431.50
  4. Step 4: Simplify right side
    45,454,629x = 4,655,937,642,128,192
  5. Step 5: Solve for x
    x = 4,655,937,642,128,192/45,454,629
  6. Step 6: Final answer
    x = 102,430,439.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.