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Finding the Third Proportional to 2,012,331,274 and 3,199,898,032

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Solution

The third proportional to 2,012,331,274 and 3,199,898,032 is: 5,088,301,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012,331,274 : 3,199,898,032 = 3,199,898,032 : x
  2. Step 2: Convert to fraction form
    2,012,331,274/3,199,898,032 = 3,199,898,032/x
  3. Step 3: Cross multiply
    2,012,331,274x = 3,199,898,032 × 3,199,898,032
  4. Step 4: Simplify right side
    2,012,331,274x = 10,239,347,415,197,472,768
  5. Step 5: Solve for x
    x = 10,239,347,415,197,472,768/2,012,331,274
  6. Step 6: Final answer
    x = 5,088,301,090.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.