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Finding the Third Proportional to 1,208,384,865 and 1,865,957,643

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Solution

The third proportional to 1,208,384,865 and 1,865,957,643 is: 2,881,365,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,384,865 : 1,865,957,643 = 1,865,957,643 : x
  2. Step 2: Convert to fraction form
    1,208,384,865/1,865,957,643 = 1,865,957,643/x
  3. Step 3: Cross multiply
    1,208,384,865x = 1,865,957,643 × 1,865,957,643
  4. Step 4: Simplify right side
    1,208,384,865x = 3,481,797,925,470,115,328
  5. Step 5: Solve for x
    x = 3,481,797,925,470,115,328/1,208,384,865
  6. Step 6: Final answer
    x = 2,881,365,057.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.