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Finding the Third Proportional to 6,251,208,181,410 and 13,540,932,855,852

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Solution

The third proportional to 6,251,208,181,410 and 13,540,932,855,852 is: 29,331,427,987,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251,208,181,410 : 13,540,932,855,852 = 13,540,932,855,852 : x
  2. Step 2: Convert to fraction form
    6,251,208,181,410/13,540,932,855,852 = 13,540,932,855,852/x
  3. Step 3: Cross multiply
    6,251,208,181,410x = 13,540,932,855,852 × 13,540,932,855,852
  4. Step 4: Simplify right side
    6,251,208,181,410x = 183,356,862,606,692,214,005,301,248
  5. Step 5: Solve for x
    x = 183,356,862,606,692,214,005,301,248/6,251,208,181,410
  6. Step 6: Final answer
    x = 29,331,427,987,307.07

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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.