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Finding the Third Proportional to 32,808,329.25 and 71,795,661.75

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Solution

The third proportional to 32,808,329.25 and 71,795,661.75 is: 157,113,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,808,329.25 : 71,795,661.75 = 71,795,661.75 : x
  2. Step 2: Convert to fraction form
    32,808,329.25/71,795,661.75 = 71,795,661.75/x
  3. Step 3: Cross multiply
    32,808,329.25x = 71,795,661.75 × 71,795,661.75
  4. Step 4: Simplify right side
    32,808,329.25x = 5,154,617,046,120,413
  5. Step 5: Solve for x
    x = 5,154,617,046,120,413/32,808,329.25
  6. Step 6: Final answer
    x = 157,113,061.35

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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.