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Finding the Third Proportional to 7,656,792 and 16,823,040

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Solution

The third proportional to 7,656,792 and 16,823,040 is: 36,962,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,792 : 16,823,040 = 16,823,040 : x
  2. Step 2: Convert to fraction form
    7,656,792/16,823,040 = 16,823,040/x
  3. Step 3: Cross multiply
    7,656,792x = 16,823,040 × 16,823,040
  4. Step 4: Simplify right side
    7,656,792x = 283,014,674,841,600
  5. Step 5: Solve for x
    x = 283,014,674,841,600/7,656,792
  6. Step 6: Final answer
    x = 36,962,565.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.