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Finding the Third Proportional to 1,049,464,627.50 and 2,296,626,274.50

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Solution

The third proportional to 1,049,464,627.50 and 2,296,626,274.50 is: 5,025,888,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,464,627.50 : 2,296,626,274.50 = 2,296,626,274.50 : x
  2. Step 2: Convert to fraction form
    1,049,464,627.50/2,296,626,274.50 = 2,296,626,274.50/x
  3. Step 3: Cross multiply
    1,049,464,627.50x = 2,296,626,274.50 × 2,296,626,274.50
  4. Step 4: Simplify right side
    1,049,464,627.50x = 5,274,492,244,723,748,864
  5. Step 5: Solve for x
    x = 5,274,492,244,723,748,864/1,049,464,627.50
  6. Step 6: Final answer
    x = 5,025,888,540.23

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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.