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Finding the Third Proportional to 890,357,437.13 and 1,902,983,668.88

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Solution

The third proportional to 890,357,437.13 and 1,902,983,668.88 is: 4,067,295,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,357,437.13 : 1,902,983,668.88 = 1,902,983,668.88 : x
  2. Step 2: Convert to fraction form
    890,357,437.13/1,902,983,668.88 = 1,902,983,668.88/x
  3. Step 3: Cross multiply
    890,357,437.13x = 1,902,983,668.88 × 1,902,983,668.88
  4. Step 4: Simplify right side
    890,357,437.13x = 3,621,346,844,004,955,648
  5. Step 5: Solve for x
    x = 3,621,346,844,004,955,648/890,357,437.13
  6. Step 6: Final answer
    x = 4,067,295,552.33

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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.