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Finding the Third Proportional to 6,251,046,396 and 13,016,527,356

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Solution

The third proportional to 6,251,046,396 and 13,016,527,356 is: 27,104,259,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251,046,396 : 13,016,527,356 = 13,016,527,356 : x
  2. Step 2: Convert to fraction form
    6,251,046,396/13,016,527,356 = 13,016,527,356/x
  3. Step 3: Cross multiply
    6,251,046,396x = 13,016,527,356 × 13,016,527,356
  4. Step 4: Simplify right side
    6,251,046,396x = 169,429,984,409,496,354,816
  5. Step 5: Solve for x
    x = 169,429,984,409,496,354,816/6,251,046,396
  6. Step 6: Final answer
    x = 27,104,259,619.30

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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.