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Finding the Third Proportional to 32,420,878.50 and 69,475,258.50

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Solution

The third proportional to 32,420,878.50 and 69,475,258.50 is: 148,879,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420,878.50 : 69,475,258.50 = 69,475,258.50 : x
  2. Step 2: Convert to fraction form
    32,420,878.50/69,475,258.50 = 69,475,258.50/x
  3. Step 3: Cross multiply
    32,420,878.50x = 69,475,258.50 × 69,475,258.50
  4. Step 4: Simplify right side
    32,420,878.50x = 4,826,811,543,641,822
  5. Step 5: Solve for x
    x = 4,826,811,543,641,822/32,420,878.50
  6. Step 6: Final answer
    x = 148,879,727.11

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