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Finding the Third Proportional to 1,049,464,560 and 2,296,626,145

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Solution

The third proportional to 1,049,464,560 and 2,296,626,145 is: 5,025,888,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,464,560 : 2,296,626,145 = 2,296,626,145 : x
  2. Step 2: Convert to fraction form
    1,049,464,560/2,296,626,145 = 2,296,626,145/x
  3. Step 3: Cross multiply
    1,049,464,560x = 2,296,626,145 × 2,296,626,145
  4. Step 4: Simplify right side
    1,049,464,560x = 5,274,491,649,897,561,088
  5. Step 5: Solve for x
    x = 5,274,491,649,897,561,088/1,049,464,560
  6. Step 6: Final answer
    x = 5,025,888,296.69

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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.