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Finding the Third Proportional to 3,679,219,875 and 5,517,478,516.50

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Solution

The third proportional to 3,679,219,875 and 5,517,478,516.50 is: 8,274,191,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679,219,875 : 5,517,478,516.50 = 5,517,478,516.50 : x
  2. Step 2: Convert to fraction form
    3,679,219,875/5,517,478,516.50 = 5,517,478,516.50/x
  3. Step 3: Cross multiply
    3,679,219,875x = 5,517,478,516.50 × 5,517,478,516.50
  4. Step 4: Simplify right side
    3,679,219,875x = 30,442,569,180,039,041,024
  5. Step 5: Solve for x
    x = 30,442,569,180,039,041,024/3,679,219,875
  6. Step 6: Final answer
    x = 8,274,191,327.05

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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.