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Finding the Third Proportional to 441,691,076.25 and 956,993,018.63

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Solution

The third proportional to 441,691,076.25 and 956,993,018.63 is: 2,073,475,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,691,076.25 : 956,993,018.63 = 956,993,018.63 : x
  2. Step 2: Convert to fraction form
    441,691,076.25/956,993,018.63 = 956,993,018.63/x
  3. Step 3: Cross multiply
    441,691,076.25x = 956,993,018.63 × 956,993,018.63
  4. Step 4: Simplify right side
    441,691,076.25x = 915,835,637,696,989,568
  5. Step 5: Solve for x
    x = 915,835,637,696,989,568/441,691,076.25
  6. Step 6: Final answer
    x = 2,073,475,528.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.