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Finding the Third Proportional to 7,703,709.75 and 18,218,430.75

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Solution

The third proportional to 7,703,709.75 and 18,218,430.75 is: 43,084,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703,709.75 : 18,218,430.75 = 18,218,430.75 : x
  2. Step 2: Convert to fraction form
    7,703,709.75/18,218,430.75 = 18,218,430.75/x
  3. Step 3: Cross multiply
    7,703,709.75x = 18,218,430.75 × 18,218,430.75
  4. Step 4: Simplify right side
    7,703,709.75x = 331,911,218,992,545.56
  5. Step 5: Solve for x
    x = 331,911,218,992,545.56/7,703,709.75
  6. Step 6: Final answer
    x = 43,084,595.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.