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Finding the Third Proportional to 37,743,478 and 82,552,056

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Solution

The third proportional to 37,743,478 and 82,552,056 is: 180,556,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743,478 : 82,552,056 = 82,552,056 : x
  2. Step 2: Convert to fraction form
    37,743,478/82,552,056 = 82,552,056/x
  3. Step 3: Cross multiply
    37,743,478x = 82,552,056 × 82,552,056
  4. Step 4: Simplify right side
    37,743,478x = 6,814,841,949,827,136
  5. Step 5: Solve for x
    x = 6,814,841,949,827,136/37,743,478
  6. Step 6: Final answer
    x = 180,556,809.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.