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Finding the Third Proportional to 11,902,560 and 17,807,712

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Solution

The third proportional to 11,902,560 and 17,807,712 is: 26,642,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902,560 : 17,807,712 = 17,807,712 : x
  2. Step 2: Convert to fraction form
    11,902,560/17,807,712 = 17,807,712/x
  3. Step 3: Cross multiply
    11,902,560x = 17,807,712 × 17,807,712
  4. Step 4: Simplify right side
    11,902,560x = 317,114,606,674,944
  5. Step 5: Solve for x
    x = 317,114,606,674,944/11,902,560
  6. Step 6: Final answer
    x = 26,642,554.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.