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Finding the Third Proportional to 1,136,863,168 and 2,488,025,616

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Solution

The third proportional to 1,136,863,168 and 2,488,025,616 is: 5,445,045,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,863,168 : 2,488,025,616 = 2,488,025,616 : x
  2. Step 2: Convert to fraction form
    1,136,863,168/2,488,025,616 = 2,488,025,616/x
  3. Step 3: Cross multiply
    1,136,863,168x = 2,488,025,616 × 2,488,025,616
  4. Step 4: Simplify right side
    1,136,863,168x = 6,190,271,465,872,179,200
  5. Step 5: Solve for x
    x = 6,190,271,465,872,179,200/1,136,863,168
  6. Step 6: Final answer
    x = 5,445,045,314.26

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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.