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Finding the Third Proportional to 9,262,025,745,404 and 14,012,160,959,973

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Solution

The third proportional to 9,262,025,745,404 and 14,012,160,959,973 is: 21,198,457,029,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262,025,745,404 : 14,012,160,959,973 = 14,012,160,959,973 : x
  2. Step 2: Convert to fraction form
    9,262,025,745,404/14,012,160,959,973 = 14,012,160,959,973/x
  3. Step 3: Cross multiply
    9,262,025,745,404x = 14,012,160,959,973 × 14,012,160,959,973
  4. Step 4: Simplify right side
    9,262,025,745,404x = 196,340,654,768,191,457,202,274,304
  5. Step 5: Solve for x
    x = 196,340,654,768,191,457,202,274,304/9,262,025,745,404
  6. Step 6: Final answer
    x = 21,198,457,029,297.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.