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Finding the Third Proportional to 10,095,712 and 21,894,848

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Solution

The third proportional to 10,095,712 and 21,894,848 is: 47,483,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095,712 : 21,894,848 = 21,894,848 : x
  2. Step 2: Convert to fraction form
    10,095,712/21,894,848 = 21,894,848/x
  3. Step 3: Cross multiply
    10,095,712x = 21,894,848 × 21,894,848
  4. Step 4: Simplify right side
    10,095,712x = 479,384,368,943,104
  5. Step 5: Solve for x
    x = 479,384,368,943,104/10,095,712
  6. Step 6: Final answer
    x = 47,483,958.43

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Why These Related Problems?

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