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Finding the Third Proportional to 1,018,868,544 and 2,183,041,854

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Solution

The third proportional to 1,018,868,544 and 2,183,041,854 is: 4,677,415,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,868,544 : 2,183,041,854 = 2,183,041,854 : x
  2. Step 2: Convert to fraction form
    1,018,868,544/2,183,041,854 = 2,183,041,854/x
  3. Step 3: Cross multiply
    1,018,868,544x = 2,183,041,854 × 2,183,041,854
  4. Step 4: Simplify right side
    1,018,868,544x = 4,765,671,736,315,757,568
  5. Step 5: Solve for x
    x = 4,765,671,736,315,757,568/1,018,868,544
  6. Step 6: Final answer
    x = 4,677,415,712.14

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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.