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Finding the Third Proportional to 7,583,565.75 and 16,230,013.50

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Solution

The third proportional to 7,583,565.75 and 16,230,013.50 is: 34,734,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,565.75 : 16,230,013.50 = 16,230,013.50 : x
  2. Step 2: Convert to fraction form
    7,583,565.75/16,230,013.50 = 16,230,013.50/x
  3. Step 3: Cross multiply
    7,583,565.75x = 16,230,013.50 × 16,230,013.50
  4. Step 4: Simplify right side
    7,583,565.75x = 263,413,338,210,182.25
  5. Step 5: Solve for x
    x = 263,413,338,210,182.25/7,583,565.75
  6. Step 6: Final answer
    x = 34,734,760.26

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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.