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Finding the Third Proportional to 7,724,570 and 11,686,275

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Solution

The third proportional to 7,724,570 and 11,686,275 is: 17,679,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,570 : 11,686,275 = 11,686,275 : x
  2. Step 2: Convert to fraction form
    7,724,570/11,686,275 = 11,686,275/x
  3. Step 3: Cross multiply
    7,724,570x = 11,686,275 × 11,686,275
  4. Step 4: Simplify right side
    7,724,570x = 136,569,023,375,625
  5. Step 5: Solve for x
    x = 136,569,023,375,625/7,724,570
  6. Step 6: Final answer
    x = 17,679,822.10

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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.