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Finding the Third Proportional to 7,511,918 and 16,191,964

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Solution

The third proportional to 7,511,918 and 16,191,964 is: 34,901,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511,918 : 16,191,964 = 16,191,964 : x
  2. Step 2: Convert to fraction form
    7,511,918/16,191,964 = 16,191,964/x
  3. Step 3: Cross multiply
    7,511,918x = 16,191,964 × 16,191,964
  4. Step 4: Simplify right side
    7,511,918x = 262,179,698,177,296
  5. Step 5: Solve for x
    x = 262,179,698,177,296/7,511,918
  6. Step 6: Final answer
    x = 34,901,831.75

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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.