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Finding the Third Proportional to 9,770,703,264 and 21,333,234,684

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Solution

The third proportional to 9,770,703,264 and 21,333,234,684 is: 46,578,725,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,703,264 : 21,333,234,684 = 21,333,234,684 : x
  2. Step 2: Convert to fraction form
    9,770,703,264/21,333,234,684 = 21,333,234,684/x
  3. Step 3: Cross multiply
    9,770,703,264x = 21,333,234,684 × 21,333,234,684
  4. Step 4: Simplify right side
    9,770,703,264x = 455,106,902,082,620,555,264
  5. Step 5: Solve for x
    x = 455,106,902,082,620,555,264/9,770,703,264
  6. Step 6: Final answer
    x = 46,578,725,173.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.