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Finding the Third Proportional to 1,272,404,562 and 2,782,987,428

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Solution

The third proportional to 1,272,404,562 and 2,782,987,428 is: 6,086,915,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,404,562 : 2,782,987,428 = 2,782,987,428 : x
  2. Step 2: Convert to fraction form
    1,272,404,562/2,782,987,428 = 2,782,987,428/x
  3. Step 3: Cross multiply
    1,272,404,562x = 2,782,987,428 × 2,782,987,428
  4. Step 4: Simplify right side
    1,272,404,562x = 7,745,019,024,406,054,912
  5. Step 5: Solve for x
    x = 7,745,019,024,406,054,912/1,272,404,562
  6. Step 6: Final answer
    x = 6,086,915,479.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.