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Finding the Third Proportional to 14,461,672 and 19,830,138

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Solution

The third proportional to 14,461,672 and 19,830,138 is: 27,191,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461,672 : 19,830,138 = 19,830,138 : x
  2. Step 2: Convert to fraction form
    14,461,672/19,830,138 = 19,830,138/x
  3. Step 3: Cross multiply
    14,461,672x = 19,830,138 × 19,830,138
  4. Step 4: Simplify right side
    14,461,672x = 393,234,373,099,044
  5. Step 5: Solve for x
    x = 393,234,373,099,044/14,461,672
  6. Step 6: Final answer
    x = 27,191,487.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.