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Finding the Third Proportional to 1,125,556,420 and 2,480,103,728

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Solution

The third proportional to 1,125,556,420 and 2,480,103,728 is: 5,464,776,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,556,420 : 2,480,103,728 = 2,480,103,728 : x
  2. Step 2: Convert to fraction form
    1,125,556,420/2,480,103,728 = 2,480,103,728/x
  3. Step 3: Cross multiply
    1,125,556,420x = 2,480,103,728 × 2,480,103,728
  4. Step 4: Simplify right side
    1,125,556,420x = 6,150,914,501,639,497,728
  5. Step 5: Solve for x
    x = 6,150,914,501,639,497,728/1,125,556,420
  6. Step 6: Final answer
    x = 5,464,776,702.74

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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.