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Finding the Third Proportional to 14,241,320 and 31,386,976

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Solution

The third proportional to 14,241,320 and 31,386,976 is: 69,174,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241,320 : 31,386,976 = 31,386,976 : x
  2. Step 2: Convert to fraction form
    14,241,320/31,386,976 = 31,386,976/x
  3. Step 3: Cross multiply
    14,241,320x = 31,386,976 × 31,386,976
  4. Step 4: Simplify right side
    14,241,320x = 985,142,262,424,576
  5. Step 5: Solve for x
    x = 985,142,262,424,576/14,241,320
  6. Step 6: Final answer
    x = 69,174,926.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.