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Finding the Third Proportional to 15,460,864 and 32,792,576

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Solution

The third proportional to 15,460,864 and 32,792,576 is: 69,553,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,460,864 : 32,792,576 = 32,792,576 : x
  2. Step 2: Convert to fraction form
    15,460,864/32,792,576 = 32,792,576/x
  3. Step 3: Cross multiply
    15,460,864x = 32,792,576 × 32,792,576
  4. Step 4: Simplify right side
    15,460,864x = 1,075,353,040,715,776
  5. Step 5: Solve for x
    x = 1,075,353,040,715,776/15,460,864
  6. Step 6: Final answer
    x = 69,553,230.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.