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Finding the Third Proportional to 35,321,452,566 and 54,291,605,010

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Solution

The third proportional to 35,321,452,566 and 54,291,605,010 is: 83,450,089,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321,452,566 : 54,291,605,010 = 54,291,605,010 : x
  2. Step 2: Convert to fraction form
    35,321,452,566/54,291,605,010 = 54,291,605,010/x
  3. Step 3: Cross multiply
    35,321,452,566x = 54,291,605,010 × 54,291,605,010
  4. Step 4: Simplify right side
    35,321,452,566x = 2,947,578,374,561,857,011,712
  5. Step 5: Solve for x
    x = 2,947,578,374,561,857,011,712/35,321,452,566
  6. Step 6: Final answer
    x = 83,450,089,405.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.