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Finding the Third Proportional to 311,929,282 and 675,872,940

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Solution

The third proportional to 311,929,282 and 675,872,940 is: 1,464,448,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,929,282 : 675,872,940 = 675,872,940 : x
  2. Step 2: Convert to fraction form
    311,929,282/675,872,940 = 675,872,940/x
  3. Step 3: Cross multiply
    311,929,282x = 675,872,940 × 675,872,940
  4. Step 4: Simplify right side
    311,929,282x = 456,804,231,024,243,584
  5. Step 5: Solve for x
    x = 456,804,231,024,243,584/311,929,282
  6. Step 6: Final answer
    x = 1,464,448,057.25

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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.