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Finding the Third Proportional to 42,393,944 and 91,830,763

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Solution

The third proportional to 42,393,944 and 91,830,763 is: 198,917,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,393,944 : 91,830,763 = 91,830,763 : x
  2. Step 2: Convert to fraction form
    42,393,944/91,830,763 = 91,830,763/x
  3. Step 3: Cross multiply
    42,393,944x = 91,830,763 × 91,830,763
  4. Step 4: Simplify right side
    42,393,944x = 8,432,889,033,162,169
  5. Step 5: Solve for x
    x = 8,432,889,033,162,169/42,393,944
  6. Step 6: Final answer
    x = 198,917,303.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.