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Finding the Third Proportional to 1,643,166,583.50 and 2,545,225,767

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Solution

The third proportional to 1,643,166,583.50 and 2,545,225,767 is: 3,942,493,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,166,583.50 : 2,545,225,767 = 2,545,225,767 : x
  2. Step 2: Convert to fraction form
    1,643,166,583.50/2,545,225,767 = 2,545,225,767/x
  3. Step 3: Cross multiply
    1,643,166,583.50x = 2,545,225,767 × 2,545,225,767
  4. Step 4: Simplify right side
    1,643,166,583.50x = 6,478,174,205,000,737,792
  5. Step 5: Solve for x
    x = 6,478,174,205,000,737,792/1,643,166,583.50
  6. Step 6: Final answer
    x = 3,942,493,883.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.