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Finding the Third Proportional to 5,430,356.44 and 8,051,607.56

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Solution

The third proportional to 5,430,356.44 and 8,051,607.56 is: 11,938,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430,356.44 : 8,051,607.56 = 8,051,607.56 : x
  2. Step 2: Convert to fraction form
    5,430,356.44/8,051,607.56 = 8,051,607.56/x
  3. Step 3: Cross multiply
    5,430,356.44x = 8,051,607.56 × 8,051,607.56
  4. Step 4: Simplify right side
    5,430,356.44x = 64,828,384,340,507.19
  5. Step 5: Solve for x
    x = 64,828,384,340,507.19/5,430,356.44
  6. Step 6: Final answer
    x = 11,938,145.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.