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Finding the Third Proportional to 2,531,550 and 5,157,102

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Solution

The third proportional to 2,531,550 and 5,157,102 is: 10,505,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,550 : 5,157,102 = 5,157,102 : x
  2. Step 2: Convert to fraction form
    2,531,550/5,157,102 = 5,157,102/x
  3. Step 3: Cross multiply
    2,531,550x = 5,157,102 × 5,157,102
  4. Step 4: Simplify right side
    2,531,550x = 26,595,701,038,404
  5. Step 5: Solve for x
    x = 26,595,701,038,404/2,531,550
  6. Step 6: Final answer
    x = 10,505,698.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.