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Finding the Third Proportional to 6,416,261 and 14,267,045

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Solution

The third proportional to 6,416,261 and 14,267,045 is: 31,723,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,261 : 14,267,045 = 14,267,045 : x
  2. Step 2: Convert to fraction form
    6,416,261/14,267,045 = 14,267,045/x
  3. Step 3: Cross multiply
    6,416,261x = 14,267,045 × 14,267,045
  4. Step 4: Simplify right side
    6,416,261x = 203,548,573,032,025
  5. Step 5: Solve for x
    x = 203,548,573,032,025/6,416,261
  6. Step 6: Final answer
    x = 31,723,861.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.