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Finding the Third Proportional to 9,322,058,628 and 19,973,780,748

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Solution

The third proportional to 9,322,058,628 and 19,973,780,748 is: 42,796,546,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322,058,628 : 19,973,780,748 = 19,973,780,748 : x
  2. Step 2: Convert to fraction form
    9,322,058,628/19,973,780,748 = 19,973,780,748/x
  3. Step 3: Cross multiply
    9,322,058,628x = 19,973,780,748 × 19,973,780,748
  4. Step 4: Simplify right side
    9,322,058,628x = 398,951,917,369,175,441,408
  5. Step 5: Solve for x
    x = 398,951,917,369,175,441,408/9,322,058,628
  6. Step 6: Final answer
    x = 42,796,546,695.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.