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Finding the Third Proportional to 47,349,432 and 110,629,638

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Solution

The third proportional to 47,349,432 and 110,629,638 is: 258,480,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349,432 : 110,629,638 = 110,629,638 : x
  2. Step 2: Convert to fraction form
    47,349,432/110,629,638 = 110,629,638/x
  3. Step 3: Cross multiply
    47,349,432x = 110,629,638 × 110,629,638
  4. Step 4: Simplify right side
    47,349,432x = 12,238,916,804,011,044
  5. Step 5: Solve for x
    x = 12,238,916,804,011,044/47,349,432
  6. Step 6: Final answer
    x = 258,480,752.29

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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.