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Finding the Third Proportional to 37,457,916,868 and 88,393,979,340

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Solution

The third proportional to 37,457,916,868 and 88,393,979,340 is: 208,593,969,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,457,916,868 : 88,393,979,340 = 88,393,979,340 : x
  2. Step 2: Convert to fraction form
    37,457,916,868/88,393,979,340 = 88,393,979,340/x
  3. Step 3: Cross multiply
    37,457,916,868x = 88,393,979,340 × 88,393,979,340
  4. Step 4: Simplify right side
    37,457,916,868x = 7,813,495,583,560,346,632,192
  5. Step 5: Solve for x
    x = 7,813,495,583,560,346,632,192/37,457,916,868
  6. Step 6: Final answer
    x = 208,593,969,896.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.