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Finding the Third Proportional to 6,444,366.75 and 13,897,641.38

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Solution

The third proportional to 6,444,366.75 and 13,897,641.38 is: 29,971,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444,366.75 : 13,897,641.38 = 13,897,641.38 : x
  2. Step 2: Convert to fraction form
    6,444,366.75/13,897,641.38 = 13,897,641.38/x
  3. Step 3: Cross multiply
    6,444,366.75x = 13,897,641.38 × 13,897,641.38
  4. Step 4: Simplify right side
    6,444,366.75x = 193,144,435,788,111.88
  5. Step 5: Solve for x
    x = 193,144,435,788,111.88/6,444,366.75
  6. Step 6: Final answer
    x = 29,971,049.64

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