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Finding the Third Proportional to 4,720,052,447.44 and 7,078,345,466.06

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Solution

The third proportional to 4,720,052,447.44 and 7,078,345,466.06 is: 10,614,919,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720,052,447.44 : 7,078,345,466.06 = 7,078,345,466.06 : x
  2. Step 2: Convert to fraction form
    4,720,052,447.44/7,078,345,466.06 = 7,078,345,466.06/x
  3. Step 3: Cross multiply
    4,720,052,447.44x = 7,078,345,466.06 × 7,078,345,466.06
  4. Step 4: Simplify right side
    4,720,052,447.44x = 50,102,974,536,927,551,488
  5. Step 5: Solve for x
    x = 50,102,974,536,927,551,488/4,720,052,447.44
  6. Step 6: Final answer
    x = 10,614,919,027.89

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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.