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Finding the Third Proportional to 286,556,988.09 and 613,980,987.19

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Solution

The third proportional to 286,556,988.09 and 613,980,987.19 is: 1,315,524,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,556,988.09 : 613,980,987.19 = 613,980,987.19 : x
  2. Step 2: Convert to fraction form
    286,556,988.09/613,980,987.19 = 613,980,987.19/x
  3. Step 3: Cross multiply
    286,556,988.09x = 613,980,987.19 × 613,980,987.19
  4. Step 4: Simplify right side
    286,556,988.09x = 376,972,652,627,737,024
  5. Step 5: Solve for x
    x = 376,972,652,627,737,024/286,556,988.09
  6. Step 6: Final answer
    x = 1,315,524,200.39

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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.