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Finding the Third Proportional to 34,041,176,985 and 74,494,965,517.50

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Solution

The third proportional to 34,041,176,985 and 74,494,965,517.50 is: 163,023,149,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041,176,985 : 74,494,965,517.50 = 74,494,965,517.50 : x
  2. Step 2: Convert to fraction form
    34,041,176,985/74,494,965,517.50 = 74,494,965,517.50/x
  3. Step 3: Cross multiply
    34,041,176,985x = 74,494,965,517.50 × 74,494,965,517.50
  4. Step 4: Simplify right side
    34,041,176,985x = 5,549,499,887,453,513,711,616
  5. Step 5: Solve for x
    x = 5,549,499,887,453,513,711,616/34,041,176,985
  6. Step 6: Final answer
    x = 163,023,149,578.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.