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Finding the Third Proportional to 3,774,734,286 and 5,662,101,915

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Solution

The third proportional to 3,774,734,286 and 5,662,101,915 is: 8,493,153,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774,734,286 : 5,662,101,915 = 5,662,101,915 : x
  2. Step 2: Convert to fraction form
    3,774,734,286/5,662,101,915 = 5,662,101,915/x
  3. Step 3: Cross multiply
    3,774,734,286x = 5,662,101,915 × 5,662,101,915
  4. Step 4: Simplify right side
    3,774,734,286x = 32,059,398,095,846,666,240
  5. Step 5: Solve for x
    x = 32,059,398,095,846,666,240/3,774,734,286
  6. Step 6: Final answer
    x = 8,493,153,601.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.