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Finding the Third Proportional to 10,831,928 and 23,356,624

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Solution

The third proportional to 10,831,928 and 23,356,624 is: 50,363,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831,928 : 23,356,624 = 23,356,624 : x
  2. Step 2: Convert to fraction form
    10,831,928/23,356,624 = 23,356,624/x
  3. Step 3: Cross multiply
    10,831,928x = 23,356,624 × 23,356,624
  4. Step 4: Simplify right side
    10,831,928x = 545,531,884,677,376
  5. Step 5: Solve for x
    x = 545,531,884,677,376/10,831,928
  6. Step 6: Final answer
    x = 50,363,322.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.