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Finding the Third Proportional to 4,722,608,706 and 10,334,853,370

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Solution

The third proportional to 4,722,608,706 and 10,334,853,370 is: 22,616,566,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722,608,706 : 10,334,853,370 = 10,334,853,370 : x
  2. Step 2: Convert to fraction form
    4,722,608,706/10,334,853,370 = 10,334,853,370/x
  3. Step 3: Cross multiply
    4,722,608,706x = 10,334,853,370 × 10,334,853,370
  4. Step 4: Simplify right side
    4,722,608,706x = 106,809,194,179,400,351,744
  5. Step 5: Solve for x
    x = 106,809,194,179,400,351,744/4,722,608,706
  6. Step 6: Final answer
    x = 22,616,566,569.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.