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Finding the Third Proportional to 1,863,677,027 and 4,141,063,831

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Solution

The third proportional to 1,863,677,027 and 4,141,063,831 is: 9,201,384,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,677,027 : 4,141,063,831 = 4,141,063,831 : x
  2. Step 2: Convert to fraction form
    1,863,677,027/4,141,063,831 = 4,141,063,831/x
  3. Step 3: Cross multiply
    1,863,677,027x = 4,141,063,831 × 4,141,063,831
  4. Step 4: Simplify right side
    1,863,677,027x = 17,148,409,652,416,397,312
  5. Step 5: Solve for x
    x = 17,148,409,652,416,397,312/1,863,677,027
  6. Step 6: Final answer
    x = 9,201,384,898.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.