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Finding the Third Proportional to 1,644,332,768 and 3,880,458,434

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Solution

The third proportional to 1,644,332,768 and 3,880,458,434 is: 9,157,488,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,332,768 : 3,880,458,434 = 3,880,458,434 : x
  2. Step 2: Convert to fraction form
    1,644,332,768/3,880,458,434 = 3,880,458,434/x
  3. Step 3: Cross multiply
    1,644,332,768x = 3,880,458,434 × 3,880,458,434
  4. Step 4: Simplify right side
    1,644,332,768x = 15,057,957,658,001,731,584
  5. Step 5: Solve for x
    x = 15,057,957,658,001,731,584/1,644,332,768
  6. Step 6: Final answer
    x = 9,157,488,040.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.