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Finding the Third Proportional to 3,193,656,603 and 6,989,365,734

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Solution

The third proportional to 3,193,656,603 and 6,989,365,734 is: 15,296,332,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,656,603 : 6,989,365,734 = 6,989,365,734 : x
  2. Step 2: Convert to fraction form
    3,193,656,603/6,989,365,734 = 6,989,365,734/x
  3. Step 3: Cross multiply
    3,193,656,603x = 6,989,365,734 × 6,989,365,734
  4. Step 4: Simplify right side
    3,193,656,603x = 48,851,233,363,613,360,128
  5. Step 5: Solve for x
    x = 48,851,233,363,613,360,128/3,193,656,603
  6. Step 6: Final answer
    x = 15,296,332,522.95

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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.