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Finding the Third Proportional to 3,433,886,217 and 7,438,241,947.50

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Solution

The third proportional to 3,433,886,217 and 7,438,241,947.50 is: 16,112,194,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,886,217 : 7,438,241,947.50 = 7,438,241,947.50 : x
  2. Step 2: Convert to fraction form
    3,433,886,217/7,438,241,947.50 = 7,438,241,947.50/x
  3. Step 3: Cross multiply
    3,433,886,217x = 7,438,241,947.50 × 7,438,241,947.50
  4. Step 4: Simplify right side
    3,433,886,217x = 55,327,443,269,548,589,056
  5. Step 5: Solve for x
    x = 55,327,443,269,548,589,056/3,433,886,217
  6. Step 6: Final answer
    x = 16,112,194,689.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.