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Finding the Third Proportional to 1,732,213,734 and 4,041,971,727

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Solution

The third proportional to 1,732,213,734 and 4,041,971,727 is: 9,431,593,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,213,734 : 4,041,971,727 = 4,041,971,727 : x
  2. Step 2: Convert to fraction form
    1,732,213,734/4,041,971,727 = 4,041,971,727/x
  3. Step 3: Cross multiply
    1,732,213,734x = 4,041,971,727 × 4,041,971,727
  4. Step 4: Simplify right side
    1,732,213,734x = 16,337,535,441,867,362,304
  5. Step 5: Solve for x
    x = 16,337,535,441,867,362,304/1,732,213,734
  6. Step 6: Final answer
    x = 9,431,593,296.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.