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Finding the Third Proportional to 611,186,294.81 and 1,325,729,465.44

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Solution

The third proportional to 611,186,294.81 and 1,325,729,465.44 is: 2,875,651,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,186,294.81 : 1,325,729,465.44 = 1,325,729,465.44 : x
  2. Step 2: Convert to fraction form
    611,186,294.81/1,325,729,465.44 = 1,325,729,465.44/x
  3. Step 3: Cross multiply
    611,186,294.81x = 1,325,729,465.44 × 1,325,729,465.44
  4. Step 4: Simplify right side
    611,186,294.81x = 1,757,558,615,529,199,616
  5. Step 5: Solve for x
    x = 1,757,558,615,529,199,616/611,186,294.81
  6. Step 6: Final answer
    x = 2,875,651,221.97

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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.