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Finding the Third Proportional to 4,272,639,650,778 and 5,764,794,081,361

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Solution

The third proportional to 4,272,639,650,778 and 5,764,794,081,361 is: 7,778,060,757,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272,639,650,778 : 5,764,794,081,361 = 5,764,794,081,361 : x
  2. Step 2: Convert to fraction form
    4,272,639,650,778/5,764,794,081,361 = 5,764,794,081,361/x
  3. Step 3: Cross multiply
    4,272,639,650,778x = 5,764,794,081,361 × 5,764,794,081,361
  4. Step 4: Simplify right side
    4,272,639,650,778x = 33,232,850,800,494,817,941,913,600
  5. Step 5: Solve for x
    x = 33,232,850,800,494,817,941,913,600/4,272,639,650,778
  6. Step 6: Final answer
    x = 7,778,060,757,930.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.