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Finding the Third Proportional to 9,072,600,208 and 14,232,219,774

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Solution

The third proportional to 9,072,600,208 and 14,232,219,774 is: 22,326,133,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072,600,208 : 14,232,219,774 = 14,232,219,774 : x
  2. Step 2: Convert to fraction form
    9,072,600,208/14,232,219,774 = 14,232,219,774/x
  3. Step 3: Cross multiply
    9,072,600,208x = 14,232,219,774 × 14,232,219,774
  4. Step 4: Simplify right side
    9,072,600,208x = 202,556,079,695,436,611,584
  5. Step 5: Solve for x
    x = 202,556,079,695,436,611,584/9,072,600,208
  6. Step 6: Final answer
    x = 22,326,133,087.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.