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Finding the Third Proportional to 4,325,203,822 and 6,700,308,613

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Solution

The third proportional to 4,325,203,822 and 6,700,308,613 is: 10,379,657,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325,203,822 : 6,700,308,613 = 6,700,308,613 : x
  2. Step 2: Convert to fraction form
    4,325,203,822/6,700,308,613 = 6,700,308,613/x
  3. Step 3: Cross multiply
    4,325,203,822x = 6,700,308,613 × 6,700,308,613
  4. Step 4: Simplify right side
    4,325,203,822x = 44,894,135,509,441,986,560
  5. Step 5: Solve for x
    x = 44,894,135,509,441,986,560/4,325,203,822
  6. Step 6: Final answer
    x = 10,379,657,781.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.