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Finding the Third Proportional to 14,575,965 and 31,897,722

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Solution

The third proportional to 14,575,965 and 31,897,722 is: 69,804,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575,965 : 31,897,722 = 31,897,722 : x
  2. Step 2: Convert to fraction form
    14,575,965/31,897,722 = 31,897,722/x
  3. Step 3: Cross multiply
    14,575,965x = 31,897,722 × 31,897,722
  4. Step 4: Simplify right side
    14,575,965x = 1,017,464,668,789,284
  5. Step 5: Solve for x
    x = 1,017,464,668,789,284/14,575,965
  6. Step 6: Final answer
    x = 69,804,274.97

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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.