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Finding the Third Proportional to 37,138,749,337 and 81,573,506,728

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Solution

The third proportional to 37,138,749,337 and 81,573,506,728 is: 179,172,350,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138,749,337 : 81,573,506,728 = 81,573,506,728 : x
  2. Step 2: Convert to fraction form
    37,138,749,337/81,573,506,728 = 81,573,506,728/x
  3. Step 3: Cross multiply
    37,138,749,337x = 81,573,506,728 × 81,573,506,728
  4. Step 4: Simplify right side
    37,138,749,337x = 6,654,236,999,903,061,475,328
  5. Step 5: Solve for x
    x = 6,654,236,999,903,061,475,328/37,138,749,337
  6. Step 6: Final answer
    x = 179,172,350,138.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.