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Finding the Third Proportional to 14,575,900 and 31,897,592

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Solution

The third proportional to 14,575,900 and 31,897,592 is: 69,804,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575,900 : 31,897,592 = 31,897,592 : x
  2. Step 2: Convert to fraction form
    14,575,900/31,897,592 = 31,897,592/x
  3. Step 3: Cross multiply
    14,575,900x = 31,897,592 × 31,897,592
  4. Step 4: Simplify right side
    14,575,900x = 1,017,456,375,398,464
  5. Step 5: Solve for x
    x = 1,017,456,375,398,464/14,575,900
  6. Step 6: Final answer
    x = 69,804,017.27

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