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Finding the Third Proportional to 598,596,554,055 and 1,239,623,726,181

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Solution

The third proportional to 598,596,554,055 and 1,239,623,726,181 is: 2,567,116,319,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,596,554,055 : 1,239,623,726,181 = 1,239,623,726,181 : x
  2. Step 2: Convert to fraction form
    598,596,554,055/1,239,623,726,181 = 1,239,623,726,181/x
  3. Step 3: Cross multiply
    598,596,554,055x = 1,239,623,726,181 × 1,239,623,726,181
  4. Step 4: Simplify right side
    598,596,554,055x = 1,536,666,982,510,866,838,061,056
  5. Step 5: Solve for x
    x = 1,536,666,982,510,866,838,061,056/598,596,554,055
  6. Step 6: Final answer
    x = 2,567,116,319,165.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.