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Finding the Third Proportional to 58,162,464 and 122,341,824

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Solution

The third proportional to 58,162,464 and 122,341,824 is: 257,339,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,162,464 : 122,341,824 = 122,341,824 : x
  2. Step 2: Convert to fraction form
    58,162,464/122,341,824 = 122,341,824/x
  3. Step 3: Cross multiply
    58,162,464x = 122,341,824 × 122,341,824
  4. Step 4: Simplify right side
    58,162,464x = 14,967,521,899,646,976
  5. Step 5: Solve for x
    x = 14,967,521,899,646,976/58,162,464
  6. Step 6: Final answer
    x = 257,339,886.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.