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Finding the Third Proportional to 6,874,133.63 and 14,930,580.38

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Solution

The third proportional to 6,874,133.63 and 14,930,580.38 is: 32,429,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874,133.63 : 14,930,580.38 = 14,930,580.38 : x
  2. Step 2: Convert to fraction form
    6,874,133.63/14,930,580.38 = 14,930,580.38/x
  3. Step 3: Cross multiply
    6,874,133.63x = 14,930,580.38 × 14,930,580.38
  4. Step 4: Simplify right side
    6,874,133.63x = 222,922,230,334,335.12
  5. Step 5: Solve for x
    x = 222,922,230,334,335.12/6,874,133.63
  6. Step 6: Final answer
    x = 32,429,138.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.