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Finding the Third Proportional to 943,683,132 and 1,415,524,819.50

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Solution

The third proportional to 943,683,132 and 1,415,524,819.50 is: 2,123,287,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,683,132 : 1,415,524,819.50 = 1,415,524,819.50 : x
  2. Step 2: Convert to fraction form
    943,683,132/1,415,524,819.50 = 1,415,524,819.50/x
  3. Step 3: Cross multiply
    943,683,132x = 1,415,524,819.50 × 1,415,524,819.50
  4. Step 4: Simplify right side
    943,683,132x = 2,003,710,514,620,507,648
  5. Step 5: Solve for x
    x = 2,003,710,514,620,507,648/943,683,132
  6. Step 6: Final answer
    x = 2,123,287,411.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.