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Finding the Third Proportional to 47,349,029.50 and 110,628,736.50

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Solution

The third proportional to 47,349,029.50 and 110,628,736.50 is: 258,478,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349,029.50 : 110,628,736.50 = 110,628,736.50 : x
  2. Step 2: Convert to fraction form
    47,349,029.50/110,628,736.50 = 110,628,736.50/x
  3. Step 3: Cross multiply
    47,349,029.50x = 110,628,736.50 × 110,628,736.50
  4. Step 4: Simplify right side
    47,349,029.50x = 12,238,717,339,586,432
  5. Step 5: Solve for x
    x = 12,238,717,339,586,432/47,349,029.50
  6. Step 6: Final answer
    x = 258,478,736.92

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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.