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Finding the Third Proportional to 6,470,319 and 10,149,142.50

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Solution

The third proportional to 6,470,319 and 10,149,142.50 is: 15,919,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470,319 : 10,149,142.50 = 10,149,142.50 : x
  2. Step 2: Convert to fraction form
    6,470,319/10,149,142.50 = 10,149,142.50/x
  3. Step 3: Cross multiply
    6,470,319x = 10,149,142.50 × 10,149,142.50
  4. Step 4: Simplify right side
    6,470,319x = 103,005,093,485,306.25
  5. Step 5: Solve for x
    x = 103,005,093,485,306.25/6,470,319
  6. Step 6: Final answer
    x = 15,919,631.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.