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Finding the Third Proportional to 377,198,211 and 824,518,877

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Solution

The third proportional to 377,198,211 and 824,518,877 is: 1,802,318,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,198,211 : 824,518,877 = 824,518,877 : x
  2. Step 2: Convert to fraction form
    377,198,211/824,518,877 = 824,518,877/x
  3. Step 3: Cross multiply
    377,198,211x = 824,518,877 × 824,518,877
  4. Step 4: Simplify right side
    377,198,211x = 679,831,378,529,341,184
  5. Step 5: Solve for x
    x = 679,831,378,529,341,184/377,198,211
  6. Step 6: Final answer
    x = 1,802,318,671.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.