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Finding the Third Proportional to 11,098,348,722 and 16,035,197,341

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Solution

The third proportional to 11,098,348,722 and 16,035,197,341 is: 23,168,091,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098,348,722 : 16,035,197,341 = 16,035,197,341 : x
  2. Step 2: Convert to fraction form
    11,098,348,722/16,035,197,341 = 16,035,197,341/x
  3. Step 3: Cross multiply
    11,098,348,722x = 16,035,197,341 × 16,035,197,341
  4. Step 4: Simplify right side
    11,098,348,722x = 257,127,553,764,813,471,744
  5. Step 5: Solve for x
    x = 257,127,553,764,813,471,744/11,098,348,722
  6. Step 6: Final answer
    x = 23,168,091,056.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.