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Finding the Third Proportional to 1,035,720,199 and 2,218,354,310

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Solution

The third proportional to 1,035,720,199 and 2,218,354,310 is: 4,751,375,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,720,199 : 2,218,354,310 = 2,218,354,310 : x
  2. Step 2: Convert to fraction form
    1,035,720,199/2,218,354,310 = 2,218,354,310/x
  3. Step 3: Cross multiply
    1,035,720,199x = 2,218,354,310 × 2,218,354,310
  4. Step 4: Simplify right side
    1,035,720,199x = 4,921,095,844,695,576,576
  5. Step 5: Solve for x
    x = 4,921,095,844,695,576,576/1,035,720,199
  6. Step 6: Final answer
    x = 4,751,375,757.13

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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.