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Finding the Third Proportional to 1,197,154,906 and 2,797,094,040

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Solution

The third proportional to 1,197,154,906 and 2,797,094,040 is: 6,535,273,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,154,906 : 2,797,094,040 = 2,797,094,040 : x
  2. Step 2: Convert to fraction form
    1,197,154,906/2,797,094,040 = 2,797,094,040/x
  3. Step 3: Cross multiply
    1,197,154,906x = 2,797,094,040 × 2,797,094,040
  4. Step 4: Simplify right side
    1,197,154,906x = 7,823,735,068,603,522,048
  5. Step 5: Solve for x
    x = 7,823,735,068,603,522,048/1,197,154,906
  6. Step 6: Final answer
    x = 6,535,273,780.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.