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Finding the Third Proportional to 3,041,743,826 and 6,520,036,828

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Solution

The third proportional to 3,041,743,826 and 6,520,036,828 is: 13,975,825,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041,743,826 : 6,520,036,828 = 6,520,036,828 : x
  2. Step 2: Convert to fraction form
    3,041,743,826/6,520,036,828 = 6,520,036,828/x
  3. Step 3: Cross multiply
    3,041,743,826x = 6,520,036,828 × 6,520,036,828
  4. Step 4: Simplify right side
    3,041,743,826x = 42,510,880,238,476,304,384
  5. Step 5: Solve for x
    x = 42,510,880,238,476,304,384/3,041,743,826
  6. Step 6: Final answer
    x = 13,975,825,273.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.