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Finding the Third Proportional to 548,081,068.13 and 1,293,373,223.63

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Solution

The third proportional to 548,081,068.13 and 1,293,373,223.63 is: 3,052,129,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,081,068.13 : 1,293,373,223.63 = 1,293,373,223.63 : x
  2. Step 2: Convert to fraction form
    548,081,068.13/1,293,373,223.63 = 1,293,373,223.63/x
  3. Step 3: Cross multiply
    548,081,068.13x = 1,293,373,223.63 × 1,293,373,223.63
  4. Step 4: Simplify right side
    548,081,068.13x = 1,672,814,295,590,124,288
  5. Step 5: Solve for x
    x = 1,672,814,295,590,124,288/548,081,068.13
  6. Step 6: Final answer
    x = 3,052,129,316.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.