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Finding the Third Proportional to 47,349,440 and 110,629,656

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Solution

The third proportional to 47,349,440 and 110,629,656 is: 258,480,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349,440 : 110,629,656 = 110,629,656 : x
  2. Step 2: Convert to fraction form
    47,349,440/110,629,656 = 110,629,656/x
  3. Step 3: Cross multiply
    47,349,440x = 110,629,656 × 110,629,656
  4. Step 4: Simplify right side
    47,349,440x = 12,238,920,786,678,336
  5. Step 5: Solve for x
    x = 12,238,920,786,678,336/47,349,440
  6. Step 6: Final answer
    x = 258,480,792.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.