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Finding the Third Proportional to 6,548,535 and 13,775,746

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Solution

The third proportional to 6,548,535 and 13,775,746 is: 28,979,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548,535 : 13,775,746 = 13,775,746 : x
  2. Step 2: Convert to fraction form
    6,548,535/13,775,746 = 13,775,746/x
  3. Step 3: Cross multiply
    6,548,535x = 13,775,746 × 13,775,746
  4. Step 4: Simplify right side
    6,548,535x = 189,771,177,856,516
  5. Step 5: Solve for x
    x = 189,771,177,856,516/6,548,535
  6. Step 6: Final answer
    x = 28,979,180.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.