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Finding the Third Proportional to 208,663,578,324 and 451,975,988,889

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Solution

The third proportional to 208,663,578,324 and 451,975,988,889 is: 979,003,121,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,663,578,324 : 451,975,988,889 = 451,975,988,889 : x
  2. Step 2: Convert to fraction form
    208,663,578,324/451,975,988,889 = 451,975,988,889/x
  3. Step 3: Cross multiply
    208,663,578,324x = 451,975,988,889 × 451,975,988,889
  4. Step 4: Simplify right side
    208,663,578,324x = 204,282,294,532,189,437,558,784
  5. Step 5: Solve for x
    x = 204,282,294,532,189,437,558,784/208,663,578,324
  6. Step 6: Final answer
    x = 979,003,121,546.17

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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.