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Finding the Third Proportional to 45,154,843 and 67,834,002

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Solution

The third proportional to 45,154,843 and 67,834,002 is: 101,903,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,154,843 : 67,834,002 = 67,834,002 : x
  2. Step 2: Convert to fraction form
    45,154,843/67,834,002 = 67,834,002/x
  3. Step 3: Cross multiply
    45,154,843x = 67,834,002 × 67,834,002
  4. Step 4: Simplify right side
    45,154,843x = 4,601,451,827,336,004
  5. Step 5: Solve for x
    x = 4,601,451,827,336,004/45,154,843
  6. Step 6: Final answer
    x = 101,903,838.47

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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.