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Finding the Third Proportional to 41,747,967 and 90,905,893.50

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Solution

The third proportional to 41,747,967 and 90,905,893.50 is: 197,946,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,747,967 : 90,905,893.50 = 90,905,893.50 : x
  2. Step 2: Convert to fraction form
    41,747,967/90,905,893.50 = 90,905,893.50/x
  3. Step 3: Cross multiply
    41,747,967x = 90,905,893.50 × 90,905,893.50
  4. Step 4: Simplify right side
    41,747,967x = 8,263,881,473,033,342
  5. Step 5: Solve for x
    x = 8,263,881,473,033,342/41,747,967
  6. Step 6: Final answer
    x = 197,946,919.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.