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Finding the Third Proportional to 3,070,883,633 and 6,631,086,178

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Solution

The third proportional to 3,070,883,633 and 6,631,086,178 is: 14,318,778,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,883,633 : 6,631,086,178 = 6,631,086,178 : x
  2. Step 2: Convert to fraction form
    3,070,883,633/6,631,086,178 = 6,631,086,178/x
  3. Step 3: Cross multiply
    3,070,883,633x = 6,631,086,178 × 6,631,086,178
  4. Step 4: Simplify right side
    3,070,883,633x = 43,971,303,900,062,646,272
  5. Step 5: Solve for x
    x = 43,971,303,900,062,646,272/3,070,883,633
  6. Step 6: Final answer
    x = 14,318,778,942.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.