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Finding the Third Proportional to 863,686,002 and 1,864,992,948

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Solution

The third proportional to 863,686,002 and 1,864,992,948 is: 4,027,156,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,686,002 : 1,864,992,948 = 1,864,992,948 : x
  2. Step 2: Convert to fraction form
    863,686,002/1,864,992,948 = 1,864,992,948/x
  3. Step 3: Cross multiply
    863,686,002x = 1,864,992,948 × 1,864,992,948
  4. Step 4: Simplify right side
    863,686,002x = 3,478,198,696,089,730,560
  5. Step 5: Solve for x
    x = 3,478,198,696,089,730,560/863,686,002
  6. Step 6: Final answer
    x = 4,027,156,499.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.