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Finding the Third Proportional to 14,531,958 and 31,150,343

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Solution

The third proportional to 14,531,958 and 31,150,343 is: 66,773,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531,958 : 31,150,343 = 31,150,343 : x
  2. Step 2: Convert to fraction form
    14,531,958/31,150,343 = 31,150,343/x
  3. Step 3: Cross multiply
    14,531,958x = 31,150,343 × 31,150,343
  4. Step 4: Simplify right side
    14,531,958x = 970,343,869,017,649
  5. Step 5: Solve for x
    x = 970,343,869,017,649/14,531,958
  6. Step 6: Final answer
    x = 66,773,098.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.