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Finding the Third Proportional to 7,061,907 and 14,971,383

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Solution

The third proportional to 7,061,907 and 14,971,383 is: 31,739,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061,907 : 14,971,383 = 14,971,383 : x
  2. Step 2: Convert to fraction form
    7,061,907/14,971,383 = 14,971,383/x
  3. Step 3: Cross multiply
    7,061,907x = 14,971,383 × 14,971,383
  4. Step 4: Simplify right side
    7,061,907x = 224,142,308,932,689
  5. Step 5: Solve for x
    x = 224,142,308,932,689/7,061,907
  6. Step 6: Final answer
    x = 31,739,629.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.