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Finding the Third Proportional to 730,144,442,682 and 1,560,771,632,628

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Solution

The third proportional to 730,144,442,682 and 1,560,771,632,628 is: 3,336,337,232,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,144,442,682 : 1,560,771,632,628 = 1,560,771,632,628 : x
  2. Step 2: Convert to fraction form
    730,144,442,682/1,560,771,632,628 = 1,560,771,632,628/x
  3. Step 3: Cross multiply
    730,144,442,682x = 1,560,771,632,628 × 1,560,771,632,628
  4. Step 4: Simplify right side
    730,144,442,682x = 2,436,008,089,216,272,832,659,456
  5. Step 5: Solve for x
    x = 2,436,008,089,216,272,832,659,456/730,144,442,682
  6. Step 6: Final answer
    x = 3,336,337,232,490.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.