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Finding the Third Proportional to 9,090,895,016 and 21,240,432,757

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Solution

The third proportional to 9,090,895,016 and 21,240,432,757 is: 49,627,235,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090,895,016 : 21,240,432,757 = 21,240,432,757 : x
  2. Step 2: Convert to fraction form
    9,090,895,016/21,240,432,757 = 21,240,432,757/x
  3. Step 3: Cross multiply
    9,090,895,016x = 21,240,432,757 × 21,240,432,757
  4. Step 4: Simplify right side
    9,090,895,016x = 451,155,983,704,638,619,648
  5. Step 5: Solve for x
    x = 451,155,983,704,638,619,648/9,090,895,016
  6. Step 6: Final answer
    x = 49,627,235,042.38

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