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Finding the Third Proportional to 74,913,856,808 and 108,237,586,370

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Solution

The third proportional to 74,913,856,808 and 108,237,586,370 is: 156,384,620,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913,856,808 : 108,237,586,370 = 108,237,586,370 : x
  2. Step 2: Convert to fraction form
    74,913,856,808/108,237,586,370 = 108,237,586,370/x
  3. Step 3: Cross multiply
    74,913,856,808x = 108,237,586,370 × 108,237,586,370
  4. Step 4: Simplify right side
    74,913,856,808x = 11,715,375,103,203,210,166,272
  5. Step 5: Solve for x
    x = 11,715,375,103,203,210,166,272/74,913,856,808
  6. Step 6: Final answer
    x = 156,384,620,981.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.