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Finding the Third Proportional to 37,138,751,020.50 and 81,573,509,730

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Solution

The third proportional to 37,138,751,020.50 and 81,573,509,730 is: 179,172,355,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138,751,020.50 : 81,573,509,730 = 81,573,509,730 : x
  2. Step 2: Convert to fraction form
    37,138,751,020.50/81,573,509,730 = 81,573,509,730/x
  3. Step 3: Cross multiply
    37,138,751,020.50x = 81,573,509,730 × 81,573,509,730
  4. Step 4: Simplify right side
    37,138,751,020.50x = 6,654,237,489,670,404,440,064
  5. Step 5: Solve for x
    x = 6,654,237,489,670,404,440,064/37,138,751,020.50
  6. Step 6: Final answer
    x = 179,172,355,203.80

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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.