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Finding the Third Proportional to 1,249,138,271 and 2,743,454,911

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Solution

The third proportional to 1,249,138,271 and 2,743,454,911 is: 6,025,389,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,138,271 : 2,743,454,911 = 2,743,454,911 : x
  2. Step 2: Convert to fraction form
    1,249,138,271/2,743,454,911 = 2,743,454,911/x
  3. Step 3: Cross multiply
    1,249,138,271x = 2,743,454,911 × 2,743,454,911
  4. Step 4: Simplify right side
    1,249,138,271x = 7,526,544,848,690,018,304
  5. Step 5: Solve for x
    x = 7,526,544,848,690,018,304/1,249,138,271
  6. Step 6: Final answer
    x = 6,025,389,681.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.