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Finding the Third Proportional to 365,824,901.81 and 521,496,900.84

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Solution

The third proportional to 365,824,901.81 and 521,496,900.84 is: 743,413,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,824,901.81 : 521,496,900.84 = 521,496,900.84 : x
  2. Step 2: Convert to fraction form
    365,824,901.81/521,496,900.84 = 521,496,900.84/x
  3. Step 3: Cross multiply
    365,824,901.81x = 521,496,900.84 × 521,496,900.84
  4. Step 4: Simplify right side
    365,824,901.81x = 271,959,017,589,636,032
  5. Step 5: Solve for x
    x = 271,959,017,589,636,032/365,824,901.81
  6. Step 6: Final answer
    x = 743,413,081.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.