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Finding the Third Proportional to 6,196,735.13 and 12,896,415

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Solution

The third proportional to 6,196,735.13 and 12,896,415 is: 26,839,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196,735.13 : 12,896,415 = 12,896,415 : x
  2. Step 2: Convert to fraction form
    6,196,735.13/12,896,415 = 12,896,415/x
  3. Step 3: Cross multiply
    6,196,735.13x = 12,896,415 × 12,896,415
  4. Step 4: Simplify right side
    6,196,735.13x = 166,317,519,852,225
  5. Step 5: Solve for x
    x = 166,317,519,852,225/6,196,735.13
  6. Step 6: Final answer
    x = 26,839,539.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.