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Finding the Third Proportional to 352,018,486.30 and 733,006,606.78

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Solution

The third proportional to 352,018,486.30 and 733,006,606.78 is: 1,526,336,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,018,486.30 : 733,006,606.78 = 733,006,606.78 : x
  2. Step 2: Convert to fraction form
    352,018,486.30/733,006,606.78 = 733,006,606.78/x
  3. Step 3: Cross multiply
    352,018,486.30x = 733,006,606.78 × 733,006,606.78
  4. Step 4: Simplify right side
    352,018,486.30x = 537,298,685,584,962,048
  5. Step 5: Solve for x
    x = 537,298,685,584,962,048/352,018,486.30
  6. Step 6: Final answer
    x = 1,526,336,560.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.