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Finding the Third Proportional to 12,015,942 and 25,823,430

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Solution

The third proportional to 12,015,942 and 25,823,430 is: 55,497,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015,942 : 25,823,430 = 25,823,430 : x
  2. Step 2: Convert to fraction form
    12,015,942/25,823,430 = 25,823,430/x
  3. Step 3: Cross multiply
    12,015,942x = 25,823,430 × 25,823,430
  4. Step 4: Simplify right side
    12,015,942x = 666,849,536,964,900
  5. Step 5: Solve for x
    x = 666,849,536,964,900/12,015,942
  6. Step 6: Final answer
    x = 55,497,066.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.