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Finding the Third Proportional to 1,690,598,858 and 3,681,328,948

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Solution

The third proportional to 1,690,598,858 and 3,681,328,948 is: 8,016,202,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,598,858 : 3,681,328,948 = 3,681,328,948 : x
  2. Step 2: Convert to fraction form
    1,690,598,858/3,681,328,948 = 3,681,328,948/x
  3. Step 3: Cross multiply
    1,690,598,858x = 3,681,328,948 × 3,681,328,948
  4. Step 4: Simplify right side
    1,690,598,858x = 13,552,182,823,382,786,048
  5. Step 5: Solve for x
    x = 13,552,182,823,382,786,048/1,690,598,858
  6. Step 6: Final answer
    x = 8,016,202,518.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.