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Finding the Third Proportional to 6,415,253.16 and 13,285,240.31

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Solution

The third proportional to 6,415,253.16 and 13,285,240.31 is: 27,512,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415,253.16 : 13,285,240.31 = 13,285,240.31 : x
  2. Step 2: Convert to fraction form
    6,415,253.16/13,285,240.31 = 13,285,240.31/x
  3. Step 3: Cross multiply
    6,415,253.16x = 13,285,240.31 × 13,285,240.31
  4. Step 4: Simplify right side
    6,415,253.16x = 176,497,610,160,875.09
  5. Step 5: Solve for x
    x = 176,497,610,160,875.09/6,415,253.16
  6. Step 6: Final answer
    x = 27,512,181.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.