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Finding the Third Proportional to 34,984,942 and 76,122,972

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Solution

The third proportional to 34,984,942 and 76,122,972 is: 165,634,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,984,942 : 76,122,972 = 76,122,972 : x
  2. Step 2: Convert to fraction form
    34,984,942/76,122,972 = 76,122,972/x
  3. Step 3: Cross multiply
    34,984,942x = 76,122,972 × 76,122,972
  4. Step 4: Simplify right side
    34,984,942x = 5,794,706,866,112,784
  5. Step 5: Solve for x
    x = 5,794,706,866,112,784/34,984,942
  6. Step 6: Final answer
    x = 165,634,313.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.