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Finding the Third Proportional to 35,692,821,336 and 53,998,290,596

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Solution

The third proportional to 35,692,821,336 and 53,998,290,596 is: 81,691,927,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692,821,336 : 53,998,290,596 = 53,998,290,596 : x
  2. Step 2: Convert to fraction form
    35,692,821,336/53,998,290,596 = 53,998,290,596/x
  3. Step 3: Cross multiply
    35,692,821,336x = 53,998,290,596 × 53,998,290,596
  4. Step 4: Simplify right side
    35,692,821,336x = 2,915,815,387,290,062,028,800
  5. Step 5: Solve for x
    x = 2,915,815,387,290,062,028,800/35,692,821,336
  6. Step 6: Final answer
    x = 81,691,927,904.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.