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Finding the Third Proportional to 2,473,023 and 5,381,532

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Solution

The third proportional to 2,473,023 and 5,381,532 is: 11,710,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,023 : 5,381,532 = 5,381,532 : x
  2. Step 2: Convert to fraction form
    2,473,023/5,381,532 = 5,381,532/x
  3. Step 3: Cross multiply
    2,473,023x = 5,381,532 × 5,381,532
  4. Step 4: Simplify right side
    2,473,023x = 28,960,886,667,024
  5. Step 5: Solve for x
    x = 28,960,886,667,024/2,473,023
  6. Step 6: Final answer
    x = 11,710,722.73

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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.