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Finding the Third Proportional to 339,791,177,388.54 and 736,138,627,592.35

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Solution

The third proportional to 339,791,177,388.54 and 736,138,627,592.35 is: 1,594,803,264,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,791,177,388.54 : 736,138,627,592.35 = 736,138,627,592.35 : x
  2. Step 2: Convert to fraction form
    339,791,177,388.54/736,138,627,592.35 = 736,138,627,592.35/x
  3. Step 3: Cross multiply
    339,791,177,388.54x = 736,138,627,592.35 × 736,138,627,592.35
  4. Step 4: Simplify right side
    339,791,177,388.54x = 541,900,079,033,548,510,593,024
  5. Step 5: Solve for x
    x = 541,900,079,033,548,510,593,024/339,791,177,388.54
  6. Step 6: Final answer
    x = 1,594,803,264,753.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.