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Finding the Third Proportional to 4,722,608,697 and 10,334,853,354

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Solution

The third proportional to 4,722,608,697 and 10,334,853,354 is: 22,616,566,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722,608,697 : 10,334,853,354 = 10,334,853,354 : x
  2. Step 2: Convert to fraction form
    4,722,608,697/10,334,853,354 = 10,334,853,354/x
  3. Step 3: Cross multiply
    4,722,608,697x = 10,334,853,354 × 10,334,853,354
  4. Step 4: Simplify right side
    4,722,608,697x = 106,809,193,848,685,051,904
  5. Step 5: Solve for x
    x = 106,809,193,848,685,051,904/4,722,608,697
  6. Step 6: Final answer
    x = 22,616,566,542.24

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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.