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Finding the Third Proportional to 11,226,641.63 and 16,413,742.13

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Solution

The third proportional to 11,226,641.63 and 16,413,742.13 is: 23,997,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226,641.63 : 16,413,742.13 = 16,413,742.13 : x
  2. Step 2: Convert to fraction form
    11,226,641.63/16,413,742.13 = 16,413,742.13/x
  3. Step 3: Cross multiply
    11,226,641.63x = 16,413,742.13 × 16,413,742.13
  4. Step 4: Simplify right side
    11,226,641.63x = 269,410,930,545,999.50
  5. Step 5: Solve for x
    x = 269,410,930,545,999.50/11,226,641.63
  6. Step 6: Final answer
    x = 23,997,464.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.