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Finding the Third Proportional to 10,290,848 and 15,127,968

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Solution

The third proportional to 10,290,848 and 15,127,968 is: 22,238,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290,848 : 15,127,968 = 15,127,968 : x
  2. Step 2: Convert to fraction form
    10,290,848/15,127,968 = 15,127,968/x
  3. Step 3: Cross multiply
    10,290,848x = 15,127,968 × 15,127,968
  4. Step 4: Simplify right side
    10,290,848x = 228,855,415,809,024
  5. Step 5: Solve for x
    x = 228,855,415,809,024/10,290,848
  6. Step 6: Final answer
    x = 22,238,732.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.