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Finding the Third Proportional to 5,713,323 and 7,582,432.50

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Solution

The third proportional to 5,713,323 and 7,582,432.50 is: 10,063,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713,323 : 7,582,432.50 = 7,582,432.50 : x
  2. Step 2: Convert to fraction form
    5,713,323/7,582,432.50 = 7,582,432.50/x
  3. Step 3: Cross multiply
    5,713,323x = 7,582,432.50 × 7,582,432.50
  4. Step 4: Simplify right side
    5,713,323x = 57,493,282,617,056.25
  5. Step 5: Solve for x
    x = 57,493,282,617,056.25/5,713,323
  6. Step 6: Final answer
    x = 10,063,019.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.