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Finding the Third Proportional to 5,134,712.50 and 7,178,282

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Solution

The third proportional to 5,134,712.50 and 7,178,282 is: 10,035,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134,712.50 : 7,178,282 = 7,178,282 : x
  2. Step 2: Convert to fraction form
    5,134,712.50/7,178,282 = 7,178,282/x
  3. Step 3: Cross multiply
    5,134,712.50x = 7,178,282 × 7,178,282
  4. Step 4: Simplify right side
    5,134,712.50x = 51,527,732,471,524
  5. Step 5: Solve for x
    x = 51,527,732,471,524/5,134,712.50
  6. Step 6: Final answer
    x = 10,035,173.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.