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Finding the Third Proportional to 730,144,442,683 and 1,560,771,632,630

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Solution

The third proportional to 730,144,442,683 and 1,560,771,632,630 is: 3,336,337,232,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,144,442,683 : 1,560,771,632,630 = 1,560,771,632,630 : x
  2. Step 2: Convert to fraction form
    730,144,442,683/1,560,771,632,630 = 1,560,771,632,630/x
  3. Step 3: Cross multiply
    730,144,442,683x = 1,560,771,632,630 × 1,560,771,632,630
  4. Step 4: Simplify right side
    730,144,442,683x = 2,436,008,089,222,515,567,624,192
  5. Step 5: Solve for x
    x = 2,436,008,089,222,515,567,624,192/730,144,442,683
  6. Step 6: Final answer
    x = 3,336,337,232,494.88

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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.