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Finding the Third Proportional to 37,283,267.75 and 81,020,121

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Solution

The third proportional to 37,283,267.75 and 81,020,121 is: 176,064,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,283,267.75 : 81,020,121 = 81,020,121 : x
  2. Step 2: Convert to fraction form
    37,283,267.75/81,020,121 = 81,020,121/x
  3. Step 3: Cross multiply
    37,283,267.75x = 81,020,121 × 81,020,121
  4. Step 4: Simplify right side
    37,283,267.75x = 6,564,260,006,854,641
  5. Step 5: Solve for x
    x = 6,564,260,006,854,641/37,283,267.75
  6. Step 6: Final answer
    x = 176,064,503.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.