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Finding the Third Proportional to 34,984,968 and 72,205,590

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Solution

The third proportional to 34,984,968 and 72,205,590 is: 149,025,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,984,968 : 72,205,590 = 72,205,590 : x
  2. Step 2: Convert to fraction form
    34,984,968/72,205,590 = 72,205,590/x
  3. Step 3: Cross multiply
    34,984,968x = 72,205,590 × 72,205,590
  4. Step 4: Simplify right side
    34,984,968x = 5,213,647,227,248,100
  5. Step 5: Solve for x
    x = 5,213,647,227,248,100/34,984,968
  6. Step 6: Final answer
    x = 149,025,353.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.