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Finding the Third Proportional to 6,197,152 and 13,423,408

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Solution

The third proportional to 6,197,152 and 13,423,408 is: 29,075,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,152 : 13,423,408 = 13,423,408 : x
  2. Step 2: Convert to fraction form
    6,197,152/13,423,408 = 13,423,408/x
  3. Step 3: Cross multiply
    6,197,152x = 13,423,408 × 13,423,408
  4. Step 4: Simplify right side
    6,197,152x = 180,187,882,334,464
  5. Step 5: Solve for x
    x = 180,187,882,334,464/6,197,152
  6. Step 6: Final answer
    x = 29,075,917.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.