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Finding the Third Proportional to 6,059,580.75 and 12,958,967.25

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Solution

The third proportional to 6,059,580.75 and 12,958,967.25 is: 27,713,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059,580.75 : 12,958,967.25 = 12,958,967.25 : x
  2. Step 2: Convert to fraction form
    6,059,580.75/12,958,967.25 = 12,958,967.25/x
  3. Step 3: Cross multiply
    6,059,580.75x = 12,958,967.25 × 12,958,967.25
  4. Step 4: Simplify right side
    6,059,580.75x = 167,934,832,186,572.56
  5. Step 5: Solve for x
    x = 167,934,832,186,572.56/6,059,580.75
  6. Step 6: Final answer
    x = 27,713,935.85

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Why These Related Problems?

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