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Finding the Third Proportional to 47,992,824 and 77,284,260

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Solution

The third proportional to 47,992,824 and 77,284,260 is: 124,453,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,992,824 : 77,284,260 = 77,284,260 : x
  2. Step 2: Convert to fraction form
    47,992,824/77,284,260 = 77,284,260/x
  3. Step 3: Cross multiply
    47,992,824x = 77,284,260 × 77,284,260
  4. Step 4: Simplify right side
    47,992,824x = 5,972,856,843,747,600
  5. Step 5: Solve for x
    x = 5,972,856,843,747,600/47,992,824
  6. Step 6: Final answer
    x = 124,453,123.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.