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Finding the Third Proportional to 14,470,848 and 31,461,120

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Solution

The third proportional to 14,470,848 and 31,461,120 is: 68,399,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470,848 : 31,461,120 = 31,461,120 : x
  2. Step 2: Convert to fraction form
    14,470,848/31,461,120 = 31,461,120/x
  3. Step 3: Cross multiply
    14,470,848x = 31,461,120 × 31,461,120
  4. Step 4: Simplify right side
    14,470,848x = 989,802,071,654,400
  5. Step 5: Solve for x
    x = 989,802,071,654,400/14,470,848
  6. Step 6: Final answer
    x = 68,399,728.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.