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Finding the Third Proportional to 1,177,790,338 and 2,477,422,820

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Solution

The third proportional to 1,177,790,338 and 2,477,422,820 is: 5,211,134,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,790,338 : 2,477,422,820 = 2,477,422,820 : x
  2. Step 2: Convert to fraction form
    1,177,790,338/2,477,422,820 = 2,477,422,820/x
  3. Step 3: Cross multiply
    1,177,790,338x = 2,477,422,820 × 2,477,422,820
  4. Step 4: Simplify right side
    1,177,790,338x = 6,137,623,829,056,752,640
  5. Step 5: Solve for x
    x = 6,137,623,829,056,752,640/1,177,790,338
  6. Step 6: Final answer
    x = 5,211,134,470.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.