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Finding the Third Proportional to 211,392,116 and 464,354,728

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Solution

The third proportional to 211,392,116 and 464,354,728 is: 1,020,025,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,392,116 : 464,354,728 = 464,354,728 : x
  2. Step 2: Convert to fraction form
    211,392,116/464,354,728 = 464,354,728/x
  3. Step 3: Cross multiply
    211,392,116x = 464,354,728 × 464,354,728
  4. Step 4: Simplify right side
    211,392,116x = 215,625,313,415,953,984
  5. Step 5: Solve for x
    x = 215,625,313,415,953,984/211,392,116
  6. Step 6: Final answer
    x = 1,020,025,332.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.