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Finding the Third Proportional to 16,578,441 and 35,676,306.75

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Solution

The third proportional to 16,578,441 and 35,676,306.75 is: 76,774,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578,441 : 35,676,306.75 = 35,676,306.75 : x
  2. Step 2: Convert to fraction form
    16,578,441/35,676,306.75 = 35,676,306.75/x
  3. Step 3: Cross multiply
    16,578,441x = 35,676,306.75 × 35,676,306.75
  4. Step 4: Simplify right side
    16,578,441x = 1,272,798,863,320,095.50
  5. Step 5: Solve for x
    x = 1,272,798,863,320,095.50/16,578,441
  6. Step 6: Final answer
    x = 76,774,339.84

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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.