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Finding the Third Proportional to 5,784,899.63 and 12,018,201.75

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Solution

The third proportional to 5,784,899.63 and 12,018,201.75 is: 24,967,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784,899.63 : 12,018,201.75 = 12,018,201.75 : x
  2. Step 2: Convert to fraction form
    5,784,899.63/12,018,201.75 = 12,018,201.75/x
  3. Step 3: Cross multiply
    5,784,899.63x = 12,018,201.75 × 12,018,201.75
  4. Step 4: Simplify right side
    5,784,899.63x = 144,437,173,303,703.06
  5. Step 5: Solve for x
    x = 144,437,173,303,703.06/5,784,899.63
  6. Step 6: Final answer
    x = 24,967,965.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.