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Finding the Third Proportional to 172,469,564,742 and 375,308,883,276

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Solution

The third proportional to 172,469,564,742 and 375,308,883,276 is: 816,705,011,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,469,564,742 : 375,308,883,276 = 375,308,883,276 : x
  2. Step 2: Convert to fraction form
    172,469,564,742/375,308,883,276 = 375,308,883,276/x
  3. Step 3: Cross multiply
    172,469,564,742x = 375,308,883,276 × 375,308,883,276
  4. Step 4: Simplify right side
    172,469,564,742x = 140,856,757,865,878,193,700,864
  5. Step 5: Solve for x
    x = 140,856,757,865,878,193,700,864/172,469,564,742
  6. Step 6: Final answer
    x = 816,705,011,557.19

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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.