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Finding the Third Proportional to 611,186,370.75 and 1,325,729,602.13

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Solution

The third proportional to 611,186,370.75 and 1,325,729,602.13 is: 2,875,651,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,186,370.75 : 1,325,729,602.13 = 1,325,729,602.13 : x
  2. Step 2: Convert to fraction form
    611,186,370.75/1,325,729,602.13 = 1,325,729,602.13/x
  3. Step 3: Cross multiply
    611,186,370.75x = 1,325,729,602.13 × 1,325,729,602.13
  4. Step 4: Simplify right side
    611,186,370.75x = 1,757,558,977,950,510,848
  5. Step 5: Solve for x
    x = 1,757,558,977,950,510,848/611,186,370.75
  6. Step 6: Final answer
    x = 2,875,651,457.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.