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Finding the Third Proportional to 11,098,348,770 and 16,035,197,406

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Solution

The third proportional to 11,098,348,770 and 16,035,197,406 is: 23,168,091,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098,348,770 : 16,035,197,406 = 16,035,197,406 : x
  2. Step 2: Convert to fraction form
    11,098,348,770/16,035,197,406 = 16,035,197,406/x
  3. Step 3: Cross multiply
    11,098,348,770x = 16,035,197,406 × 16,035,197,406
  4. Step 4: Simplify right side
    11,098,348,770x = 257,127,555,849,389,113,344
  5. Step 5: Solve for x
    x = 257,127,555,849,389,113,344/11,098,348,770
  6. Step 6: Final answer
    x = 23,168,091,143.83

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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.