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Finding the Third Proportional to 4,157,674,380 and 5,648,374,782

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Solution

The third proportional to 4,157,674,380 and 5,648,374,782 is: 7,673,553,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,674,380 : 5,648,374,782 = 5,648,374,782 : x
  2. Step 2: Convert to fraction form
    4,157,674,380/5,648,374,782 = 5,648,374,782/x
  3. Step 3: Cross multiply
    4,157,674,380x = 5,648,374,782 × 5,648,374,782
  4. Step 4: Simplify right side
    4,157,674,380x = 31,904,137,677,933,547,520
  5. Step 5: Solve for x
    x = 31,904,137,677,933,547,520/4,157,674,380
  6. Step 6: Final answer
    x = 7,673,553,713.44

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