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Finding the Third Proportional to 36,536,856.19 and 75,663,564.19

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Solution

The third proportional to 36,536,856.19 and 75,663,564.19 is: 156,690,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536,856.19 : 75,663,564.19 = 75,663,564.19 : x
  2. Step 2: Convert to fraction form
    36,536,856.19/75,663,564.19 = 75,663,564.19/x
  3. Step 3: Cross multiply
    36,536,856.19x = 75,663,564.19 × 75,663,564.19
  4. Step 4: Simplify right side
    36,536,856.19x = 5,724,974,945,555,933
  5. Step 5: Solve for x
    x = 5,724,974,945,555,933/36,536,856.19
  6. Step 6: Final answer
    x = 156,690,409.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.