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Finding the Third Proportional to 291,787,951 and 625,277,416

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Solution

The third proportional to 291,787,951 and 625,277,416 is: 1,339,917,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,787,951 : 625,277,416 = 625,277,416 : x
  2. Step 2: Convert to fraction form
    291,787,951/625,277,416 = 625,277,416/x
  3. Step 3: Cross multiply
    291,787,951x = 625,277,416 × 625,277,416
  4. Step 4: Simplify right side
    291,787,951x = 390,971,846,959,637,056
  5. Step 5: Solve for x
    x = 390,971,846,959,637,056/291,787,951
  6. Step 6: Final answer
    x = 1,339,917,723.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.