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Finding the Third Proportional to 758,502,770,241 and 1,095,905,518,017

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Solution

The third proportional to 758,502,770,241 and 1,095,905,518,017 is: 1,583,394,222,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,502,770,241 : 1,095,905,518,017 = 1,095,905,518,017 : x
  2. Step 2: Convert to fraction form
    758,502,770,241/1,095,905,518,017 = 1,095,905,518,017/x
  3. Step 3: Cross multiply
    758,502,770,241x = 1,095,905,518,017 × 1,095,905,518,017
  4. Step 4: Simplify right side
    758,502,770,241x = 1,201,008,904,420,109,060,145,152
  5. Step 5: Solve for x
    x = 1,201,008,904,420,109,060,145,152/758,502,770,241
  6. Step 6: Final answer
    x = 1,583,394,222,856.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.