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Finding the Third Proportional to 37,638,642 and 57,539,771

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Solution

The third proportional to 37,638,642 and 57,539,771 is: 87,963,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638,642 : 57,539,771 = 57,539,771 : x
  2. Step 2: Convert to fraction form
    37,638,642/57,539,771 = 57,539,771/x
  3. Step 3: Cross multiply
    37,638,642x = 57,539,771 × 57,539,771
  4. Step 4: Simplify right side
    37,638,642x = 3,310,825,246,732,441
  5. Step 5: Solve for x
    x = 3,310,825,246,732,441/37,638,642
  6. Step 6: Final answer
    x = 87,963,461.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.