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Finding the Third Proportional to 8,531,125.50 and 13,081,828.50

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Solution

The third proportional to 8,531,125.50 and 13,081,828.50 is: 20,059,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531,125.50 : 13,081,828.50 = 13,081,828.50 : x
  2. Step 2: Convert to fraction form
    8,531,125.50/13,081,828.50 = 13,081,828.50/x
  3. Step 3: Cross multiply
    8,531,125.50x = 13,081,828.50 × 13,081,828.50
  4. Step 4: Simplify right side
    8,531,125.50x = 171,134,236,903,412.25
  5. Step 5: Solve for x
    x = 171,134,236,903,412.25/8,531,125.50
  6. Step 6: Final answer
    x = 20,059,983.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.