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Finding the Third Proportional to 962,419,752 and 2,062,966,172

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Solution

The third proportional to 962,419,752 and 2,062,966,172 is: 4,422,009,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,419,752 : 2,062,966,172 = 2,062,966,172 : x
  2. Step 2: Convert to fraction form
    962,419,752/2,062,966,172 = 2,062,966,172/x
  3. Step 3: Cross multiply
    962,419,752x = 2,062,966,172 × 2,062,966,172
  4. Step 4: Simplify right side
    962,419,752x = 4,255,829,426,816,333,824
  5. Step 5: Solve for x
    x = 4,255,829,426,816,333,824/962,419,752
  6. Step 6: Final answer
    x = 4,422,009,645.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.