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Finding the Third Proportional to 7,724,607 and 11,686,311

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Solution

The third proportional to 7,724,607 and 11,686,311 is: 17,679,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,607 : 11,686,311 = 11,686,311 : x
  2. Step 2: Convert to fraction form
    7,724,607/11,686,311 = 11,686,311/x
  3. Step 3: Cross multiply
    7,724,607x = 11,686,311 × 11,686,311
  4. Step 4: Simplify right side
    7,724,607x = 136,569,864,788,721
  5. Step 5: Solve for x
    x = 136,569,864,788,721/7,724,607
  6. Step 6: Final answer
    x = 17,679,846.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.