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Finding the Third Proportional to 384,830,960.50 and 840,227,116.50

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Solution

The third proportional to 384,830,960.50 and 840,227,116.50 is: 1,834,523,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,830,960.50 : 840,227,116.50 = 840,227,116.50 : x
  2. Step 2: Convert to fraction form
    384,830,960.50/840,227,116.50 = 840,227,116.50/x
  3. Step 3: Cross multiply
    384,830,960.50x = 840,227,116.50 × 840,227,116.50
  4. Step 4: Simplify right side
    384,830,960.50x = 705,981,607,301,904,512
  5. Step 5: Solve for x
    x = 705,981,607,301,904,512/384,830,960.50
  6. Step 6: Final answer
    x = 1,834,523,933.27

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