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Finding the Third Proportional to 11,098,348,773 and 16,035,197,410

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Solution

The third proportional to 11,098,348,773 and 16,035,197,410 is: 23,168,091,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098,348,773 : 16,035,197,410 = 16,035,197,410 : x
  2. Step 2: Convert to fraction form
    11,098,348,773/16,035,197,410 = 16,035,197,410/x
  3. Step 3: Cross multiply
    11,098,348,773x = 16,035,197,410 × 16,035,197,410
  4. Step 4: Simplify right side
    11,098,348,773x = 257,127,555,977,670,721,536
  5. Step 5: Solve for x
    x = 257,127,555,977,670,721,536/11,098,348,773
  6. Step 6: Final answer
    x = 23,168,091,149.13

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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.