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Finding the Third Proportional to 37,138,749,337.50 and 81,573,506,730

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Solution

The third proportional to 37,138,749,337.50 and 81,573,506,730 is: 179,172,350,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138,749,337.50 : 81,573,506,730 = 81,573,506,730 : x
  2. Step 2: Convert to fraction form
    37,138,749,337.50/81,573,506,730 = 81,573,506,730/x
  3. Step 3: Cross multiply
    37,138,749,337.50x = 81,573,506,730 × 81,573,506,730
  4. Step 4: Simplify right side
    37,138,749,337.50x = 6,654,237,000,229,355,257,856
  5. Step 5: Solve for x
    x = 6,654,237,000,229,355,257,856/37,138,749,337.50
  6. Step 6: Final answer
    x = 179,172,350,144.55

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