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Finding the Third Proportional to 352,018,489.50 and 733,006,612.50

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Solution

The third proportional to 352,018,489.50 and 733,006,612.50 is: 1,526,336,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,018,489.50 : 733,006,612.50 = 733,006,612.50 : x
  2. Step 2: Convert to fraction form
    352,018,489.50/733,006,612.50 = 733,006,612.50/x
  3. Step 3: Cross multiply
    352,018,489.50x = 733,006,612.50 × 733,006,612.50
  4. Step 4: Simplify right side
    352,018,489.50x = 537,298,693,968,725,184
  5. Step 5: Solve for x
    x = 537,298,693,968,725,184/352,018,489.50
  6. Step 6: Final answer
    x = 1,526,336,570.37

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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.