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Finding the Third Proportional to 6,657,849 and 14,326,911.56

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Solution

The third proportional to 6,657,849 and 14,326,911.56 is: 30,829,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657,849 : 14,326,911.56 = 14,326,911.56 : x
  2. Step 2: Convert to fraction form
    6,657,849/14,326,911.56 = 14,326,911.56/x
  3. Step 3: Cross multiply
    6,657,849x = 14,326,911.56 × 14,326,911.56
  4. Step 4: Simplify right side
    6,657,849x = 205,260,394,919,696.19
  5. Step 5: Solve for x
    x = 205,260,394,919,696.19/6,657,849
  6. Step 6: Final answer
    x = 30,829,836.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.