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Finding the Third Proportional to 3,058,723,413 and 4,723,203,930.75

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Solution

The third proportional to 3,058,723,413 and 4,723,203,930.75 is: 7,293,452,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058,723,413 : 4,723,203,930.75 = 4,723,203,930.75 : x
  2. Step 2: Convert to fraction form
    3,058,723,413/4,723,203,930.75 = 4,723,203,930.75/x
  3. Step 3: Cross multiply
    3,058,723,413x = 4,723,203,930.75 × 4,723,203,930.75
  4. Step 4: Simplify right side
    3,058,723,413x = 22,308,655,371,452,252,160
  5. Step 5: Solve for x
    x = 22,308,655,371,452,252,160/3,058,723,413
  6. Step 6: Final answer
    x = 7,293,452,973.43

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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.