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Finding the Third Proportional to 2,325,706,164 and 3,574,770,786

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Solution

The third proportional to 2,325,706,164 and 3,574,770,786 is: 5,494,669,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325,706,164 : 3,574,770,786 = 3,574,770,786 : x
  2. Step 2: Convert to fraction form
    2,325,706,164/3,574,770,786 = 3,574,770,786/x
  3. Step 3: Cross multiply
    2,325,706,164x = 3,574,770,786 × 3,574,770,786
  4. Step 4: Simplify right side
    2,325,706,164x = 12,778,986,172,439,058,432
  5. Step 5: Solve for x
    x = 12,778,986,172,439,058,432/2,325,706,164
  6. Step 6: Final answer
    x = 5,494,669,262.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.