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Finding the Third Proportional to 13,711,297,091 and 27,808,124,652

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Solution

The third proportional to 13,711,297,091 and 27,808,124,652 is: 56,398,150,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711,297,091 : 27,808,124,652 = 27,808,124,652 : x
  2. Step 2: Convert to fraction form
    13,711,297,091/27,808,124,652 = 27,808,124,652/x
  3. Step 3: Cross multiply
    13,711,297,091x = 27,808,124,652 × 27,808,124,652
  4. Step 4: Simplify right side
    13,711,297,091x = 773,291,796,661,170,077,696
  5. Step 5: Solve for x
    x = 773,291,796,661,170,077,696/13,711,297,091
  6. Step 6: Final answer
    x = 56,398,150,483.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.