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Finding the Third Proportional to 1,837,467,726 and 4,032,062,828

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Solution

The third proportional to 1,837,467,726 and 4,032,062,828 is: 8,847,791,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,467,726 : 4,032,062,828 = 4,032,062,828 : x
  2. Step 2: Convert to fraction form
    1,837,467,726/4,032,062,828 = 4,032,062,828/x
  3. Step 3: Cross multiply
    1,837,467,726x = 4,032,062,828 × 4,032,062,828
  4. Step 4: Simplify right side
    1,837,467,726x = 16,257,530,648,939,358,208
  5. Step 5: Solve for x
    x = 16,257,530,648,939,358,208/1,837,467,726
  6. Step 6: Final answer
    x = 8,847,791,130.64

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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.