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Finding the Third Proportional to 38,795,022.75 and 64,655,665.88

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Solution

The third proportional to 38,795,022.75 and 64,655,665.88 is: 107,754,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,795,022.75 : 64,655,665.88 = 64,655,665.88 : x
  2. Step 2: Convert to fraction form
    38,795,022.75/64,655,665.88 = 64,655,665.88/x
  3. Step 3: Cross multiply
    38,795,022.75x = 64,655,665.88 × 64,655,665.88
  4. Step 4: Simplify right side
    38,795,022.75x = 4,180,355,129,739,639.50
  5. Step 5: Solve for x
    x = 4,180,355,129,739,639.50/38,795,022.75
  6. Step 6: Final answer
    x = 107,754,934.36

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.