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Finding the Third Proportional to 14,273,868 and 21,415,178

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Solution

The third proportional to 14,273,868 and 21,415,178 is: 32,129,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,273,868 : 21,415,178 = 21,415,178 : x
  2. Step 2: Convert to fraction form
    14,273,868/21,415,178 = 21,415,178/x
  3. Step 3: Cross multiply
    14,273,868x = 21,415,178 × 21,415,178
  4. Step 4: Simplify right side
    14,273,868x = 458,609,848,771,684
  5. Step 5: Solve for x
    x = 458,609,848,771,684/14,273,868
  6. Step 6: Final answer
    x = 32,129,332.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.