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Finding the Third Proportional to 37,940,100 and 83,254,272

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Solution

The third proportional to 37,940,100 and 83,254,272 is: 182,689,919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,940,100 : 83,254,272 = 83,254,272 : x
  2. Step 2: Convert to fraction form
    37,940,100/83,254,272 = 83,254,272/x
  3. Step 3: Cross multiply
    37,940,100x = 83,254,272 × 83,254,272
  4. Step 4: Simplify right side
    37,940,100x = 6,931,273,806,249,984
  5. Step 5: Solve for x
    x = 6,931,273,806,249,984/37,940,100
  6. Step 6: Final answer
    x = 182,689,919.27

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Why These Related Problems?

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