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Finding the Third Proportional to 34,041,176,990 and 74,494,965,526

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Solution

The third proportional to 34,041,176,990 and 74,494,965,526 is: 163,023,149,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041,176,990 : 74,494,965,526 = 74,494,965,526 : x
  2. Step 2: Convert to fraction form
    34,041,176,990/74,494,965,526 = 74,494,965,526/x
  3. Step 3: Cross multiply
    34,041,176,990x = 74,494,965,526 × 74,494,965,526
  4. Step 4: Simplify right side
    34,041,176,990x = 5,549,499,888,719,928,229,888
  5. Step 5: Solve for x
    x = 5,549,499,888,719,928,229,888/34,041,176,990
  6. Step 6: Final answer
    x = 163,023,149,591.75

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Why These Related Problems?

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