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Finding the Third Proportional to 9,435,072 and 14,912,848

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Solution

The third proportional to 9,435,072 and 14,912,848 is: 23,570,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,072 : 14,912,848 = 14,912,848 : x
  2. Step 2: Convert to fraction form
    9,435,072/14,912,848 = 14,912,848/x
  3. Step 3: Cross multiply
    9,435,072x = 14,912,848 × 14,912,848
  4. Step 4: Simplify right side
    9,435,072x = 222,393,035,471,104
  5. Step 5: Solve for x
    x = 222,393,035,471,104/9,435,072
  6. Step 6: Final answer
    x = 23,570,889.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.