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Finding the Third Proportional to 6,469,487,496 and 9,245,066,220

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Solution

The third proportional to 6,469,487,496 and 9,245,066,220 is: 13,211,440,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,487,496 : 9,245,066,220 = 9,245,066,220 : x
  2. Step 2: Convert to fraction form
    6,469,487,496/9,245,066,220 = 9,245,066,220/x
  3. Step 3: Cross multiply
    6,469,487,496x = 9,245,066,220 × 9,245,066,220
  4. Step 4: Simplify right side
    6,469,487,496x = 85,471,249,412,185,096,192
  5. Step 5: Solve for x
    x = 85,471,249,412,185,096,192/6,469,487,496
  6. Step 6: Final answer
    x = 13,211,440,545.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.