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Finding the Third Proportional to 66,994,808 and 102,463,032

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Solution

The third proportional to 66,994,808 and 102,463,032 is: 156,708,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,994,808 : 102,463,032 = 102,463,032 : x
  2. Step 2: Convert to fraction form
    66,994,808/102,463,032 = 102,463,032/x
  3. Step 3: Cross multiply
    66,994,808x = 102,463,032 × 102,463,032
  4. Step 4: Simplify right side
    66,994,808x = 10,498,672,926,633,024
  5. Step 5: Solve for x
    x = 10,498,672,926,633,024/66,994,808
  6. Step 6: Final answer
    x = 156,708,754.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.