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Finding the Third Proportional to 2,858,352,817.50 and 6,191,563,032

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Solution

The third proportional to 2,858,352,817.50 and 6,191,563,032 is: 13,411,728,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,352,817.50 : 6,191,563,032 = 6,191,563,032 : x
  2. Step 2: Convert to fraction form
    2,858,352,817.50/6,191,563,032 = 6,191,563,032/x
  3. Step 3: Cross multiply
    2,858,352,817.50x = 6,191,563,032 × 6,191,563,032
  4. Step 4: Simplify right side
    2,858,352,817.50x = 38,335,452,779,229,036,544
  5. Step 5: Solve for x
    x = 38,335,452,779,229,036,544/2,858,352,817.50
  6. Step 6: Final answer
    x = 13,411,728,791.67

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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.