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Finding the Third Proportional to 9,577,238,988 and 22,376,751,696

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Solution

The third proportional to 9,577,238,988 and 22,376,751,696 is: 52,282,188,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,238,988 : 22,376,751,696 = 22,376,751,696 : x
  2. Step 2: Convert to fraction form
    9,577,238,988/22,376,751,696 = 22,376,751,696/x
  3. Step 3: Cross multiply
    9,577,238,988x = 22,376,751,696 × 22,376,751,696
  4. Step 4: Simplify right side
    9,577,238,988x = 500,719,016,464,438,853,632
  5. Step 5: Solve for x
    x = 500,719,016,464,438,853,632/9,577,238,988
  6. Step 6: Final answer
    x = 52,282,188,748.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.