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Finding the Third Proportional to 1,419,599,488 and 3,286,115,776

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Solution

The third proportional to 1,419,599,488 and 3,286,115,776 is: 7,606,763,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,599,488 : 3,286,115,776 = 3,286,115,776 : x
  2. Step 2: Convert to fraction form
    1,419,599,488/3,286,115,776 = 3,286,115,776/x
  3. Step 3: Cross multiply
    1,419,599,488x = 3,286,115,776 × 3,286,115,776
  4. Step 4: Simplify right side
    1,419,599,488x = 10,798,556,893,276,082,176
  5. Step 5: Solve for x
    x = 10,798,556,893,276,082,176/1,419,599,488
  6. Step 6: Final answer
    x = 7,606,763,023.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.