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Finding the Third Proportional to 335,937,310.66 and 521,592,990.89

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Solution

The third proportional to 335,937,310.66 and 521,592,990.89 is: 809,851,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,937,310.66 : 521,592,990.89 = 521,592,990.89 : x
  2. Step 2: Convert to fraction form
    335,937,310.66/521,592,990.89 = 521,592,990.89/x
  3. Step 3: Cross multiply
    335,937,310.66x = 521,592,990.89 × 521,592,990.89
  4. Step 4: Simplify right side
    335,937,310.66x = 272,059,248,146,201,568
  5. Step 5: Solve for x
    x = 272,059,248,146,201,568/335,937,310.66
  6. Step 6: Final answer
    x = 809,851,241.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.