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Finding the Third Proportional to 6,513,849 and 13,922,214.75

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Solution

The third proportional to 6,513,849 and 13,922,214.75 is: 29,756,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,849 : 13,922,214.75 = 13,922,214.75 : x
  2. Step 2: Convert to fraction form
    6,513,849/13,922,214.75 = 13,922,214.75/x
  3. Step 3: Cross multiply
    6,513,849x = 13,922,214.75 × 13,922,214.75
  4. Step 4: Simplify right side
    6,513,849x = 193,828,063,545,117.56
  5. Step 5: Solve for x
    x = 193,828,063,545,117.56/6,513,849
  6. Step 6: Final answer
    x = 29,756,302.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.