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Finding the Third Proportional to 441,409,018 and 946,193,650

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Solution

The third proportional to 441,409,018 and 946,193,650 is: 2,028,237,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,409,018 : 946,193,650 = 946,193,650 : x
  2. Step 2: Convert to fraction form
    441,409,018/946,193,650 = 946,193,650/x
  3. Step 3: Cross multiply
    441,409,018x = 946,193,650 × 946,193,650
  4. Step 4: Simplify right side
    441,409,018x = 895,282,423,300,322,560
  5. Step 5: Solve for x
    x = 895,282,423,300,322,560/441,409,018
  6. Step 6: Final answer
    x = 2,028,237,726.90

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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.