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Finding the Third Proportional to 1,035,720,198 and 2,218,354,308

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Solution

The third proportional to 1,035,720,198 and 2,218,354,308 is: 4,751,375,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,720,198 : 2,218,354,308 = 2,218,354,308 : x
  2. Step 2: Convert to fraction form
    1,035,720,198/2,218,354,308 = 2,218,354,308/x
  3. Step 3: Cross multiply
    1,035,720,198x = 2,218,354,308 × 2,218,354,308
  4. Step 4: Simplify right side
    1,035,720,198x = 4,921,095,835,822,158,848
  5. Step 5: Solve for x
    x = 4,921,095,835,822,158,848/1,035,720,198
  6. Step 6: Final answer
    x = 4,751,375,753.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.