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Finding the Third Proportional to 45,462,432 and 69,328,296

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Solution

The third proportional to 45,462,432 and 69,328,296 is: 105,722,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,462,432 : 69,328,296 = 69,328,296 : x
  2. Step 2: Convert to fraction form
    45,462,432/69,328,296 = 69,328,296/x
  3. Step 3: Cross multiply
    45,462,432x = 69,328,296 × 69,328,296
  4. Step 4: Simplify right side
    45,462,432x = 4,806,412,626,263,616
  5. Step 5: Solve for x
    x = 4,806,412,626,263,616/45,462,432
  6. Step 6: Final answer
    x = 105,722,734.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.