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Finding the Third Proportional to 172,469,564,820 and 375,308,883,396

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Solution

The third proportional to 172,469,564,820 and 375,308,883,396 is: 816,705,011,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,469,564,820 : 375,308,883,396 = 375,308,883,396 : x
  2. Step 2: Convert to fraction form
    172,469,564,820/375,308,883,396 = 375,308,883,396/x
  3. Step 3: Cross multiply
    172,469,564,820x = 375,308,883,396 × 375,308,883,396
  4. Step 4: Simplify right side
    172,469,564,820x = 140,856,757,955,952,331,718,656
  5. Step 5: Solve for x
    x = 140,856,757,955,952,331,718,656/172,469,564,820
  6. Step 6: Final answer
    x = 816,705,011,710.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.