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Finding the Third Proportional to 37,431,427,387.50 and 83,231,987,616

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Solution

The third proportional to 37,431,427,387.50 and 83,231,987,616 is: 185,073,459,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431,427,387.50 : 83,231,987,616 = 83,231,987,616 : x
  2. Step 2: Convert to fraction form
    37,431,427,387.50/83,231,987,616 = 83,231,987,616/x
  3. Step 3: Cross multiply
    37,431,427,387.50x = 83,231,987,616 × 83,231,987,616
  4. Step 4: Simplify right side
    37,431,427,387.50x = 6,927,563,762,509,977,485,312
  5. Step 5: Solve for x
    x = 6,927,563,762,509,977,485,312/37,431,427,387.50
  6. Step 6: Final answer
    x = 185,073,459,550.29

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.