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Finding the Third Proportional to 64,052,213,751 and 133,405,988,634

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Solution

The third proportional to 64,052,213,751 and 133,405,988,634 is: 277,853,906,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,052,213,751 : 133,405,988,634 = 133,405,988,634 : x
  2. Step 2: Convert to fraction form
    64,052,213,751/133,405,988,634 = 133,405,988,634/x
  3. Step 3: Cross multiply
    64,052,213,751x = 133,405,988,634 × 133,405,988,634
  4. Step 4: Simplify right side
    64,052,213,751x = 17,797,157,803,414,937,141,248
  5. Step 5: Solve for x
    x = 17,797,157,803,414,937,141,248/64,052,213,751
  6. Step 6: Final answer
    x = 277,853,906,386.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.