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Finding the Third Proportional to 1,335,994,566 and 2,763,633,180

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Solution

The third proportional to 1,335,994,566 and 2,763,633,180 is: 5,716,840,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,994,566 : 2,763,633,180 = 2,763,633,180 : x
  2. Step 2: Convert to fraction form
    1,335,994,566/2,763,633,180 = 2,763,633,180/x
  3. Step 3: Cross multiply
    1,335,994,566x = 2,763,633,180 × 2,763,633,180
  4. Step 4: Simplify right side
    1,335,994,566x = 7,637,668,353,596,912,640
  5. Step 5: Solve for x
    x = 7,637,668,353,596,912,640/1,335,994,566
  6. Step 6: Final answer
    x = 5,716,840,882.42

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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.