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Finding the Third Proportional to 14,287,310 and 31,349,307

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Solution

The third proportional to 14,287,310 and 31,349,307 is: 68,786,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287,310 : 31,349,307 = 31,349,307 : x
  2. Step 2: Convert to fraction form
    14,287,310/31,349,307 = 31,349,307/x
  3. Step 3: Cross multiply
    14,287,310x = 31,349,307 × 31,349,307
  4. Step 4: Simplify right side
    14,287,310x = 982,779,049,380,249
  5. Step 5: Solve for x
    x = 982,779,049,380,249/14,287,310
  6. Step 6: Final answer
    x = 68,786,849.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.