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Finding the Third Proportional to 154,868,784 and 337,048,800

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Solution

The third proportional to 154,868,784 and 337,048,800 is: 733,536,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,868,784 : 337,048,800 = 337,048,800 : x
  2. Step 2: Convert to fraction form
    154,868,784/337,048,800 = 337,048,800/x
  3. Step 3: Cross multiply
    154,868,784x = 337,048,800 × 337,048,800
  4. Step 4: Simplify right side
    154,868,784x = 113,601,893,581,440,000
  5. Step 5: Solve for x
    x = 113,601,893,581,440,000/154,868,784
  6. Step 6: Final answer
    x = 733,536,421.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.