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Finding the Third Proportional to 37,638,640 and 57,539,768

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Solution

The third proportional to 37,638,640 and 57,539,768 is: 87,963,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638,640 : 57,539,768 = 57,539,768 : x
  2. Step 2: Convert to fraction form
    37,638,640/57,539,768 = 57,539,768/x
  3. Step 3: Cross multiply
    37,638,640x = 57,539,768 × 57,539,768
  4. Step 4: Simplify right side
    37,638,640x = 3,310,824,901,493,824
  5. Step 5: Solve for x
    x = 3,310,824,901,493,824/37,638,640
  6. Step 6: Final answer
    x = 87,963,457.27

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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.