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Finding the Third Proportional to 645,988,101 and 1,417,040,891

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Solution

The third proportional to 645,988,101 and 1,417,040,891 is: 3,108,423,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,988,101 : 1,417,040,891 = 1,417,040,891 : x
  2. Step 2: Convert to fraction form
    645,988,101/1,417,040,891 = 1,417,040,891/x
  3. Step 3: Cross multiply
    645,988,101x = 1,417,040,891 × 1,417,040,891
  4. Step 4: Simplify right side
    645,988,101x = 2,008,004,886,766,073,856
  5. Step 5: Solve for x
    x = 2,008,004,886,766,073,856/645,988,101
  6. Step 6: Final answer
    x = 3,108,423,953.41

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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.