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Finding the Third Proportional to 14,467,850 and 31,207,326

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Solution

The third proportional to 14,467,850 and 31,207,326 is: 67,314,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,850 : 31,207,326 = 31,207,326 : x
  2. Step 2: Convert to fraction form
    14,467,850/31,207,326 = 31,207,326/x
  3. Step 3: Cross multiply
    14,467,850x = 31,207,326 × 31,207,326
  4. Step 4: Simplify right side
    14,467,850x = 973,897,196,070,276
  5. Step 5: Solve for x
    x = 973,897,196,070,276/14,467,850
  6. Step 6: Final answer
    x = 67,314,576.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.