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Finding the Third Proportional to 311,929,284 and 675,872,944

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Solution

The third proportional to 311,929,284 and 675,872,944 is: 1,464,448,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,929,284 : 675,872,944 = 675,872,944 : x
  2. Step 2: Convert to fraction form
    311,929,284/675,872,944 = 675,872,944/x
  3. Step 3: Cross multiply
    311,929,284x = 675,872,944 × 675,872,944
  4. Step 4: Simplify right side
    311,929,284x = 456,804,236,431,227,136
  5. Step 5: Solve for x
    x = 456,804,236,431,227,136/311,929,284
  6. Step 6: Final answer
    x = 1,464,448,065.19

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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.