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Finding the Third Proportional to 6,463,196 and 9,829,092

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Solution

The third proportional to 6,463,196 and 9,829,092 is: 14,947,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,196 : 9,829,092 = 9,829,092 : x
  2. Step 2: Convert to fraction form
    6,463,196/9,829,092 = 9,829,092/x
  3. Step 3: Cross multiply
    6,463,196x = 9,829,092 × 9,829,092
  4. Step 4: Simplify right side
    6,463,196x = 96,611,049,544,464
  5. Step 5: Solve for x
    x = 96,611,049,544,464/6,463,196
  6. Step 6: Final answer
    x = 14,947,875.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.