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Finding the Third Proportional to 3,010,962,221 and 6,522,253,178

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Solution

The third proportional to 3,010,962,221 and 6,522,253,178 is: 14,128,302,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010,962,221 : 6,522,253,178 = 6,522,253,178 : x
  2. Step 2: Convert to fraction form
    3,010,962,221/6,522,253,178 = 6,522,253,178/x
  3. Step 3: Cross multiply
    3,010,962,221x = 6,522,253,178 × 6,522,253,178
  4. Step 4: Simplify right side
    3,010,962,221x = 42,539,786,517,931,098,112
  5. Step 5: Solve for x
    x = 42,539,786,517,931,098,112/3,010,962,221
  6. Step 6: Final answer
    x = 14,128,302,979.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.