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Finding the Third Proportional to 4,567,961 and 10,157,240

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Solution

The third proportional to 4,567,961 and 10,157,240 is: 22,585,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567,961 : 10,157,240 = 10,157,240 : x
  2. Step 2: Convert to fraction form
    4,567,961/10,157,240 = 10,157,240/x
  3. Step 3: Cross multiply
    4,567,961x = 10,157,240 × 10,157,240
  4. Step 4: Simplify right side
    4,567,961x = 103,169,524,417,600
  5. Step 5: Solve for x
    x = 103,169,524,417,600/4,567,961
  6. Step 6: Final answer
    x = 22,585,465.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.