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Finding the Third Proportional to 1,508,667,416 and 2,253,709,964

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Solution

The third proportional to 1,508,667,416 and 2,253,709,964 is: 3,366,685,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,667,416 : 2,253,709,964 = 2,253,709,964 : x
  2. Step 2: Convert to fraction form
    1,508,667,416/2,253,709,964 = 2,253,709,964/x
  3. Step 3: Cross multiply
    1,508,667,416x = 2,253,709,964 × 2,253,709,964
  4. Step 4: Simplify right side
    1,508,667,416x = 5,079,208,601,832,881,152
  5. Step 5: Solve for x
    x = 5,079,208,601,832,881,152/1,508,667,416
  6. Step 6: Final answer
    x = 3,366,685,425.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.