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Finding the Third Proportional to 695,632,218.75 and 1,500,217,861.50

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Solution

The third proportional to 695,632,218.75 and 1,500,217,861.50 is: 3,235,407,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,632,218.75 : 1,500,217,861.50 = 1,500,217,861.50 : x
  2. Step 2: Convert to fraction form
    695,632,218.75/1,500,217,861.50 = 1,500,217,861.50/x
  3. Step 3: Cross multiply
    695,632,218.75x = 1,500,217,861.50 × 1,500,217,861.50
  4. Step 4: Simplify right side
    695,632,218.75x = 2,250,653,631,963,633,152
  5. Step 5: Solve for x
    x = 2,250,653,631,963,633,152/695,632,218.75
  6. Step 6: Final answer
    x = 3,235,407,405.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.