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Finding the Third Proportional to 7,736,832 and 16,615,206

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Solution

The third proportional to 7,736,832 and 16,615,206 is: 35,681,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736,832 : 16,615,206 = 16,615,206 : x
  2. Step 2: Convert to fraction form
    7,736,832/16,615,206 = 16,615,206/x
  3. Step 3: Cross multiply
    7,736,832x = 16,615,206 × 16,615,206
  4. Step 4: Simplify right side
    7,736,832x = 276,065,070,422,436
  5. Step 5: Solve for x
    x = 276,065,070,422,436/7,736,832
  6. Step 6: Final answer
    x = 35,681,926.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.