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Finding the Third Proportional to 540,218,477 and 1,162,337,920

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Solution

The third proportional to 540,218,477 and 1,162,337,920 is: 2,500,894,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,218,477 : 1,162,337,920 = 1,162,337,920 : x
  2. Step 2: Convert to fraction form
    540,218,477/1,162,337,920 = 1,162,337,920/x
  3. Step 3: Cross multiply
    540,218,477x = 1,162,337,920 × 1,162,337,920
  4. Step 4: Simplify right side
    540,218,477x = 1,351,029,440,269,926,400
  5. Step 5: Solve for x
    x = 1,351,029,440,269,926,400/540,218,477
  6. Step 6: Final answer
    x = 2,500,894,541.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.