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Finding the Third Proportional to 1,148,423,281 and 2,519,183,785

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Solution

The third proportional to 1,148,423,281 and 2,519,183,785 is: 5,526,086,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,423,281 : 2,519,183,785 = 2,519,183,785 : x
  2. Step 2: Convert to fraction form
    1,148,423,281/2,519,183,785 = 2,519,183,785/x
  3. Step 3: Cross multiply
    1,148,423,281x = 2,519,183,785 × 2,519,183,785
  4. Step 4: Simplify right side
    1,148,423,281x = 6,346,286,942,606,925,824
  5. Step 5: Solve for x
    x = 6,346,286,942,606,925,824/1,148,423,281
  6. Step 6: Final answer
    x = 5,526,086,981.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.