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Finding the Third Proportional to 6,385,527 and 13,959,415.13

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Solution

The third proportional to 6,385,527 and 13,959,415.13 is: 30,516,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,527 : 13,959,415.13 = 13,959,415.13 : x
  2. Step 2: Convert to fraction form
    6,385,527/13,959,415.13 = 13,959,415.13/x
  3. Step 3: Cross multiply
    6,385,527x = 13,959,415.13 × 13,959,415.13
  4. Step 4: Simplify right side
    6,385,527x = 194,865,270,632,078.75
  5. Step 5: Solve for x
    x = 194,865,270,632,078.75/6,385,527
  6. Step 6: Final answer
    x = 30,516,709.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.