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Finding the Third Proportional to 9,105,619,072 and 21,078,195,454

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Solution

The third proportional to 9,105,619,072 and 21,078,195,454 is: 48,792,983,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105,619,072 : 21,078,195,454 = 21,078,195,454 : x
  2. Step 2: Convert to fraction form
    9,105,619,072/21,078,195,454 = 21,078,195,454/x
  3. Step 3: Cross multiply
    9,105,619,072x = 21,078,195,454 × 21,078,195,454
  4. Step 4: Simplify right side
    9,105,619,072x = 444,290,323,597,026,263,040
  5. Step 5: Solve for x
    x = 444,290,323,597,026,263,040/9,105,619,072
  6. Step 6: Final answer
    x = 48,792,983,770.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.