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Finding the Third Proportional to 9,852,670 and 15,689,655

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Solution

The third proportional to 9,852,670 and 15,689,655 is: 24,984,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852,670 : 15,689,655 = 15,689,655 : x
  2. Step 2: Convert to fraction form
    9,852,670/15,689,655 = 15,689,655/x
  3. Step 3: Cross multiply
    9,852,670x = 15,689,655 × 15,689,655
  4. Step 4: Simplify right side
    9,852,670x = 246,165,274,019,025
  5. Step 5: Solve for x
    x = 246,165,274,019,025/9,852,670
  6. Step 6: Final answer
    x = 24,984,625.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.