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Finding the Third Proportional to 694,578,686,886 and 1,504,548,095,202

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Solution

The third proportional to 694,578,686,886 and 1,504,548,095,202 is: 3,259,047,554,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,578,686,886 : 1,504,548,095,202 = 1,504,548,095,202 : x
  2. Step 2: Convert to fraction form
    694,578,686,886/1,504,548,095,202 = 1,504,548,095,202/x
  3. Step 3: Cross multiply
    694,578,686,886x = 1,504,548,095,202 × 1,504,548,095,202
  4. Step 4: Simplify right side
    694,578,686,886x = 2,263,664,970,775,966,441,799,680
  5. Step 5: Solve for x
    x = 2,263,664,970,775,966,441,799,680/694,578,686,886
  6. Step 6: Final answer
    x = 3,259,047,554,316.19

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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.