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Finding the Third Proportional to 6,097,743 and 13,200,229

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Solution

The third proportional to 6,097,743 and 13,200,229 is: 28,575,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097,743 : 13,200,229 = 13,200,229 : x
  2. Step 2: Convert to fraction form
    6,097,743/13,200,229 = 13,200,229/x
  3. Step 3: Cross multiply
    6,097,743x = 13,200,229 × 13,200,229
  4. Step 4: Simplify right side
    6,097,743x = 174,246,045,652,441
  5. Step 5: Solve for x
    x = 174,246,045,652,441/6,097,743
  6. Step 6: Final answer
    x = 28,575,498.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.