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Finding the Third Proportional to 7,820,712 and 16,356,411

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Solution

The third proportional to 7,820,712 and 16,356,411 is: 34,208,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820,712 : 16,356,411 = 16,356,411 : x
  2. Step 2: Convert to fraction form
    7,820,712/16,356,411 = 16,356,411/x
  3. Step 3: Cross multiply
    7,820,712x = 16,356,411 × 16,356,411
  4. Step 4: Simplify right side
    7,820,712x = 267,532,180,800,921
  5. Step 5: Solve for x
    x = 267,532,180,800,921/7,820,712
  6. Step 6: Final answer
    x = 34,208,161.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.