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Finding the Third Proportional to 23,572,944 and 35,214,238.69

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Solution

The third proportional to 23,572,944 and 35,214,238.69 is: 52,604,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572,944 : 35,214,238.69 = 35,214,238.69 : x
  2. Step 2: Convert to fraction form
    23,572,944/35,214,238.69 = 35,214,238.69/x
  3. Step 3: Cross multiply
    23,572,944x = 35,214,238.69 × 35,214,238.69
  4. Step 4: Simplify right side
    23,572,944x = 1,240,042,606,340,221.75
  5. Step 5: Solve for x
    x = 1,240,042,606,340,221.75/23,572,944
  6. Step 6: Final answer
    x = 52,604,486.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.