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Finding the Third Proportional to 11,546,940 and 16,143,335

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Solution

The third proportional to 11,546,940 and 16,143,335 is: 22,569,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546,940 : 16,143,335 = 16,143,335 : x
  2. Step 2: Convert to fraction form
    11,546,940/16,143,335 = 16,143,335/x
  3. Step 3: Cross multiply
    11,546,940x = 16,143,335 × 16,143,335
  4. Step 4: Simplify right side
    11,546,940x = 260,607,264,922,225
  5. Step 5: Solve for x
    x = 260,607,264,922,225/11,546,940
  6. Step 6: Final answer
    x = 22,569,378.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.