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Finding the Third Proportional to 4,744,841,468 and 10,203,765,261

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Solution

The third proportional to 4,744,841,468 and 10,203,765,261 is: 21,943,162,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,841,468 : 10,203,765,261 = 10,203,765,261 : x
  2. Step 2: Convert to fraction form
    4,744,841,468/10,203,765,261 = 10,203,765,261/x
  3. Step 3: Cross multiply
    4,744,841,468x = 10,203,765,261 × 10,203,765,261
  4. Step 4: Simplify right side
    4,744,841,468x = 104,116,825,501,590,405,120
  5. Step 5: Solve for x
    x = 104,116,825,501,590,405,120/4,744,841,468
  6. Step 6: Final answer
    x = 21,943,162,106.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.