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Finding the Third Proportional to 56,185,404,410 and 81,178,206,339

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Solution

The third proportional to 56,185,404,410 and 81,178,206,339 is: 117,288,488,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,185,404,410 : 81,178,206,339 = 81,178,206,339 : x
  2. Step 2: Convert to fraction form
    56,185,404,410/81,178,206,339 = 81,178,206,339/x
  3. Step 3: Cross multiply
    56,185,404,410x = 81,178,206,339 × 81,178,206,339
  4. Step 4: Simplify right side
    56,185,404,410x = 6,589,901,184,417,259,323,392
  5. Step 5: Solve for x
    x = 6,589,901,184,417,259,323,392/56,185,404,410
  6. Step 6: Final answer
    x = 117,288,488,952.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.