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Finding the Third Proportional to 736,396,002 and 1,636,234,956

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Solution

The third proportional to 736,396,002 and 1,636,234,956 is: 3,635,631,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,396,002 : 1,636,234,956 = 1,636,234,956 : x
  2. Step 2: Convert to fraction form
    736,396,002/1,636,234,956 = 1,636,234,956/x
  3. Step 3: Cross multiply
    736,396,002x = 1,636,234,956 × 1,636,234,956
  4. Step 4: Simplify right side
    736,396,002x = 2,677,264,831,236,321,792
  5. Step 5: Solve for x
    x = 2,677,264,831,236,321,792/736,396,002
  6. Step 6: Final answer
    x = 3,635,631,947.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.