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Finding the Third Proportional to 943,684,650 and 1,415,527,155

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Solution

The third proportional to 943,684,650 and 1,415,527,155 is: 2,123,291,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,684,650 : 1,415,527,155 = 1,415,527,155 : x
  2. Step 2: Convert to fraction form
    943,684,650/1,415,527,155 = 1,415,527,155/x
  3. Step 3: Cross multiply
    943,684,650x = 1,415,527,155 × 1,415,527,155
  4. Step 4: Simplify right side
    943,684,650x = 2,003,717,126,542,394,112
  5. Step 5: Solve for x
    x = 2,003,717,126,542,394,112/943,684,650
  6. Step 6: Final answer
    x = 2,123,291,002.50

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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.