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Finding the Third Proportional to 6,181,572 and 13,596,411

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Solution

The third proportional to 6,181,572 and 13,596,411 is: 29,905,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181,572 : 13,596,411 = 13,596,411 : x
  2. Step 2: Convert to fraction form
    6,181,572/13,596,411 = 13,596,411/x
  3. Step 3: Cross multiply
    6,181,572x = 13,596,411 × 13,596,411
  4. Step 4: Simplify right side
    6,181,572x = 184,862,392,080,921
  5. Step 5: Solve for x
    x = 184,862,392,080,921/6,181,572
  6. Step 6: Final answer
    x = 29,905,401.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.