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Finding the Third Proportional to 7,612,328 and 17,762,700

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Solution

The third proportional to 7,612,328 and 17,762,700 is: 41,447,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,328 : 17,762,700 = 17,762,700 : x
  2. Step 2: Convert to fraction form
    7,612,328/17,762,700 = 17,762,700/x
  3. Step 3: Cross multiply
    7,612,328x = 17,762,700 × 17,762,700
  4. Step 4: Simplify right side
    7,612,328x = 315,513,511,290,000
  5. Step 5: Solve for x
    x = 315,513,511,290,000/7,612,328
  6. Step 6: Final answer
    x = 41,447,703.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.