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Finding the Third Proportional to 34,229,219,066 and 47,298,311,381

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Solution

The third proportional to 34,229,219,066 and 47,298,311,381 is: 65,357,326,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,229,219,066 : 47,298,311,381 = 47,298,311,381 : x
  2. Step 2: Convert to fraction form
    34,229,219,066/47,298,311,381 = 47,298,311,381/x
  3. Step 3: Cross multiply
    34,229,219,066x = 47,298,311,381 × 47,298,311,381
  4. Step 4: Simplify right side
    34,229,219,066x = 2,237,130,259,494,034,210,816
  5. Step 5: Solve for x
    x = 2,237,130,259,494,034,210,816/34,229,219,066
  6. Step 6: Final answer
    x = 65,357,326,884.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.