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Finding the Third Proportional to 66,885,888 and 97,747,968

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Solution

The third proportional to 66,885,888 and 97,747,968 is: 142,850,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,885,888 : 97,747,968 = 97,747,968 : x
  2. Step 2: Convert to fraction form
    66,885,888/97,747,968 = 97,747,968/x
  3. Step 3: Cross multiply
    66,885,888x = 97,747,968 × 97,747,968
  4. Step 4: Simplify right side
    66,885,888x = 9,554,665,248,129,024
  5. Step 5: Solve for x
    x = 9,554,665,248,129,024/66,885,888
  6. Step 6: Final answer
    x = 142,850,241.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.