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Finding the Third Proportional to 3,774,734,314 and 5,662,101,955

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Solution

The third proportional to 3,774,734,314 and 5,662,101,955 is: 8,493,153,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774,734,314 : 5,662,101,955 = 5,662,101,955 : x
  2. Step 2: Convert to fraction form
    3,774,734,314/5,662,101,955 = 5,662,101,955/x
  3. Step 3: Cross multiply
    3,774,734,314x = 5,662,101,955 × 5,662,101,955
  4. Step 4: Simplify right side
    3,774,734,314x = 32,059,398,548,814,823,424
  5. Step 5: Solve for x
    x = 32,059,398,548,814,823,424/3,774,734,314
  6. Step 6: Final answer
    x = 8,493,153,658.50

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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.