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Finding the Third Proportional to 5,908,050.75 and 12,720,063.75

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Solution

The third proportional to 5,908,050.75 and 12,720,063.75 is: 27,386,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908,050.75 : 12,720,063.75 = 12,720,063.75 : x
  2. Step 2: Convert to fraction form
    5,908,050.75/12,720,063.75 = 12,720,063.75/x
  3. Step 3: Cross multiply
    5,908,050.75x = 12,720,063.75 × 12,720,063.75
  4. Step 4: Simplify right side
    5,908,050.75x = 161,800,021,804,064.06
  5. Step 5: Solve for x
    x = 161,800,021,804,064.06/5,908,050.75
  6. Step 6: Final answer
    x = 27,386,362.89

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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.