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Finding the Third Proportional to 2,307,000.23 and 5,048,461.69

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Solution

The third proportional to 2,307,000.23 and 5,048,461.69 is: 11,047,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,000.23 : 5,048,461.69 = 5,048,461.69 : x
  2. Step 2: Convert to fraction form
    2,307,000.23/5,048,461.69 = 5,048,461.69/x
  3. Step 3: Cross multiply
    2,307,000.23x = 5,048,461.69 × 5,048,461.69
  4. Step 4: Simplify right side
    2,307,000.23x = 25,486,965,410,155.35
  5. Step 5: Solve for x
    x = 25,486,965,410,155.35/2,307,000.23
  6. Step 6: Final answer
    x = 11,047,664.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.