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Finding the Third Proportional to 286,556,835 and 613,980,636

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Solution

The third proportional to 286,556,835 and 613,980,636 is: 1,315,523,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,556,835 : 613,980,636 = 613,980,636 : x
  2. Step 2: Convert to fraction form
    286,556,835/613,980,636 = 613,980,636/x
  3. Step 3: Cross multiply
    286,556,835x = 613,980,636 × 613,980,636
  4. Step 4: Simplify right side
    286,556,835x = 376,972,221,382,964,480
  5. Step 5: Solve for x
    x = 376,972,221,382,964,480/286,556,835
  6. Step 6: Final answer
    x = 1,315,523,398.29

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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.