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Finding the Third Proportional to 16,550,271 and 25,831,224

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Solution

The third proportional to 16,550,271 and 25,831,224 is: 40,316,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550,271 : 25,831,224 = 25,831,224 : x
  2. Step 2: Convert to fraction form
    16,550,271/25,831,224 = 25,831,224/x
  3. Step 3: Cross multiply
    16,550,271x = 25,831,224 × 25,831,224
  4. Step 4: Simplify right side
    16,550,271x = 667,252,133,338,176
  5. Step 5: Solve for x
    x = 667,252,133,338,176/16,550,271
  6. Step 6: Final answer
    x = 40,316,689.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.