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Finding the Third Proportional to 4,744,841,470 and 10,203,765,265

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Solution

The third proportional to 4,744,841,470 and 10,203,765,265 is: 21,943,162,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,841,470 : 10,203,765,265 = 10,203,765,265 : x
  2. Step 2: Convert to fraction form
    4,744,841,470/10,203,765,265 = 10,203,765,265/x
  3. Step 3: Cross multiply
    4,744,841,470x = 10,203,765,265 × 10,203,765,265
  4. Step 4: Simplify right side
    4,744,841,470x = 104,116,825,583,220,523,008
  5. Step 5: Solve for x
    x = 104,116,825,583,220,523,008/4,744,841,470
  6. Step 6: Final answer
    x = 21,943,162,114.38

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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.