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Finding the Third Proportional to 717,991,082 and 1,572,184,696

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Solution

The third proportional to 717,991,082 and 1,572,184,696 is: 3,442,612,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,991,082 : 1,572,184,696 = 1,572,184,696 : x
  2. Step 2: Convert to fraction form
    717,991,082/1,572,184,696 = 1,572,184,696/x
  3. Step 3: Cross multiply
    717,991,082x = 1,572,184,696 × 1,572,184,696
  4. Step 4: Simplify right side
    717,991,082x = 2,471,764,718,336,612,352
  5. Step 5: Solve for x
    x = 2,471,764,718,336,612,352/717,991,082
  6. Step 6: Final answer
    x = 3,442,612,004.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.