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Finding the Third Proportional to 66,521,984 and 99,511,728

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Solution

The third proportional to 66,521,984 and 99,511,728 is: 148,861,826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,521,984 : 99,511,728 = 99,511,728 : x
  2. Step 2: Convert to fraction form
    66,521,984/99,511,728 = 99,511,728/x
  3. Step 3: Cross multiply
    66,521,984x = 99,511,728 × 99,511,728
  4. Step 4: Simplify right side
    66,521,984x = 9,902,584,009,545,984
  5. Step 5: Solve for x
    x = 9,902,584,009,545,984/66,521,984
  6. Step 6: Final answer
    x = 148,861,826.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.