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Finding the Third Proportional to 1,690,598,856 and 3,681,328,944

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Solution

The third proportional to 1,690,598,856 and 3,681,328,944 is: 8,016,202,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,598,856 : 3,681,328,944 = 3,681,328,944 : x
  2. Step 2: Convert to fraction form
    1,690,598,856/3,681,328,944 = 3,681,328,944/x
  3. Step 3: Cross multiply
    1,690,598,856x = 3,681,328,944 × 3,681,328,944
  4. Step 4: Simplify right side
    1,690,598,856x = 13,552,182,793,932,154,880
  5. Step 5: Solve for x
    x = 13,552,182,793,932,154,880/1,690,598,856
  6. Step 6: Final answer
    x = 8,016,202,510.63

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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.