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Finding the Third Proportional to 7,583,819 and 10,730,873

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Solution

The third proportional to 7,583,819 and 10,730,873 is: 15,183,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,819 : 10,730,873 = 10,730,873 : x
  2. Step 2: Convert to fraction form
    7,583,819/10,730,873 = 10,730,873/x
  3. Step 3: Cross multiply
    7,583,819x = 10,730,873 × 10,730,873
  4. Step 4: Simplify right side
    7,583,819x = 115,151,635,342,129
  5. Step 5: Solve for x
    x = 115,151,635,342,129/7,583,819
  6. Step 6: Final answer
    x = 15,183,858.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.