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Finding the Third Proportional to 34,211,792 and 74,446,582

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Solution

The third proportional to 34,211,792 and 74,446,582 is: 161,999,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211,792 : 74,446,582 = 74,446,582 : x
  2. Step 2: Convert to fraction form
    34,211,792/74,446,582 = 74,446,582/x
  3. Step 3: Cross multiply
    34,211,792x = 74,446,582 × 74,446,582
  4. Step 4: Simplify right side
    34,211,792x = 5,542,293,571,482,724
  5. Step 5: Solve for x
    x = 5,542,293,571,482,724/34,211,792
  6. Step 6: Final answer
    x = 161,999,510.91

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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.