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Finding the Third Proportional to 7,681,982 and 16,554,904

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Solution

The third proportional to 7,681,982 and 16,554,904 is: 35,676,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681,982 : 16,554,904 = 16,554,904 : x
  2. Step 2: Convert to fraction form
    7,681,982/16,554,904 = 16,554,904/x
  3. Step 3: Cross multiply
    7,681,982x = 16,554,904 × 16,554,904
  4. Step 4: Simplify right side
    7,681,982x = 274,064,846,449,216
  5. Step 5: Solve for x
    x = 274,064,846,449,216/7,681,982
  6. Step 6: Final answer
    x = 35,676,319.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.