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Finding the Third Proportional to 311,930,498 and 675,875,254

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Solution

The third proportional to 311,930,498 and 675,875,254 is: 1,464,452,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930,498 : 675,875,254 = 675,875,254 : x
  2. Step 2: Convert to fraction form
    311,930,498/675,875,254 = 675,875,254/x
  3. Step 3: Cross multiply
    311,930,498x = 675,875,254 × 675,875,254
  4. Step 4: Simplify right side
    311,930,498x = 456,807,358,969,564,544
  5. Step 5: Solve for x
    x = 456,807,358,969,564,544/311,930,498
  6. Step 6: Final answer
    x = 1,464,452,376.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.