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Finding the Third Proportional to 6,860,430 and 10,085,121

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Solution

The third proportional to 6,860,430 and 10,085,121 is: 14,825,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860,430 : 10,085,121 = 10,085,121 : x
  2. Step 2: Convert to fraction form
    6,860,430/10,085,121 = 10,085,121/x
  3. Step 3: Cross multiply
    6,860,430x = 10,085,121 × 10,085,121
  4. Step 4: Simplify right side
    6,860,430x = 101,709,665,584,641
  5. Step 5: Solve for x
    x = 101,709,665,584,641/6,860,430
  6. Step 6: Final answer
    x = 14,825,552.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.