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Finding the Third Proportional to 4,677,383,740 and 6,354,421,722

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Solution

The third proportional to 4,677,383,740 and 6,354,421,722 is: 8,632,748,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677,383,740 : 6,354,421,722 = 6,354,421,722 : x
  2. Step 2: Convert to fraction form
    4,677,383,740/6,354,421,722 = 6,354,421,722/x
  3. Step 3: Cross multiply
    4,677,383,740x = 6,354,421,722 × 6,354,421,722
  4. Step 4: Simplify right side
    4,677,383,740x = 40,378,675,421,025,443,840
  5. Step 5: Solve for x
    x = 40,378,675,421,025,443,840/4,677,383,740
  6. Step 6: Final answer
    x = 8,632,748,062.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.