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Finding the Third Proportional to 243,801,527 and 520,667,578

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Solution

The third proportional to 243,801,527 and 520,667,578 is: 1,111,948,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,801,527 : 520,667,578 = 520,667,578 : x
  2. Step 2: Convert to fraction form
    243,801,527/520,667,578 = 520,667,578/x
  3. Step 3: Cross multiply
    243,801,527x = 520,667,578 × 520,667,578
  4. Step 4: Simplify right side
    243,801,527x = 271,094,726,780,386,080
  5. Step 5: Solve for x
    x = 271,094,726,780,386,080/243,801,527
  6. Step 6: Final answer
    x = 1,111,948,436.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.