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Finding the Third Proportional to 1,577,595,901.50 and 3,374,027,235

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Solution

The third proportional to 1,577,595,901.50 and 3,374,027,235 is: 7,216,080,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,595,901.50 : 3,374,027,235 = 3,374,027,235 : x
  2. Step 2: Convert to fraction form
    1,577,595,901.50/3,374,027,235 = 3,374,027,235/x
  3. Step 3: Cross multiply
    1,577,595,901.50x = 3,374,027,235 × 3,374,027,235
  4. Step 4: Simplify right side
    1,577,595,901.50x = 11,384,059,782,521,745,408
  5. Step 5: Solve for x
    x = 11,384,059,782,521,745,408/1,577,595,901.50
  6. Step 6: Final answer
    x = 7,216,080,982.27

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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.