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Finding the Third Proportional to 30,760,335,896 and 63,151,368,976

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Solution

The third proportional to 30,760,335,896 and 63,151,368,976 is: 129,650,580,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760,335,896 : 63,151,368,976 = 63,151,368,976 : x
  2. Step 2: Convert to fraction form
    30,760,335,896/63,151,368,976 = 63,151,368,976/x
  3. Step 3: Cross multiply
    30,760,335,896x = 63,151,368,976 × 63,151,368,976
  4. Step 4: Simplify right side
    30,760,335,896x = 3,988,095,403,542,895,394,816
  5. Step 5: Solve for x
    x = 3,988,095,403,542,895,394,816/30,760,335,896
  6. Step 6: Final answer
    x = 129,650,580,443.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.