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Finding the Third Proportional to 311,930,496 and 675,875,250

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Solution

The third proportional to 311,930,496 and 675,875,250 is: 1,464,452,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930,496 : 675,875,250 = 675,875,250 : x
  2. Step 2: Convert to fraction form
    311,930,496/675,875,250 = 675,875,250/x
  3. Step 3: Cross multiply
    311,930,496x = 675,875,250 × 675,875,250
  4. Step 4: Simplify right side
    311,930,496x = 456,807,353,562,562,496
  5. Step 5: Solve for x
    x = 456,807,353,562,562,496/311,930,496
  6. Step 6: Final answer
    x = 1,464,452,368.14

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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.