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Finding the Third Proportional to 6,782,886 and 14,548,464

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Solution

The third proportional to 6,782,886 and 14,548,464 is: 31,204,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782,886 : 14,548,464 = 14,548,464 : x
  2. Step 2: Convert to fraction form
    6,782,886/14,548,464 = 14,548,464/x
  3. Step 3: Cross multiply
    6,782,886x = 14,548,464 × 14,548,464
  4. Step 4: Simplify right side
    6,782,886x = 211,657,804,759,296
  5. Step 5: Solve for x
    x = 211,657,804,759,296/6,782,886
  6. Step 6: Final answer
    x = 31,204,682.60

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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.