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Finding the Third Proportional to 14,588,522 and 33,769,829

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Solution

The third proportional to 14,588,522 and 33,769,829 is: 78,171,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588,522 : 33,769,829 = 33,769,829 : x
  2. Step 2: Convert to fraction form
    14,588,522/33,769,829 = 33,769,829/x
  3. Step 3: Cross multiply
    14,588,522x = 33,769,829 × 33,769,829
  4. Step 4: Simplify right side
    14,588,522x = 1,140,401,350,689,241
  5. Step 5: Solve for x
    x = 1,140,401,350,689,241/14,588,522
  6. Step 6: Final answer
    x = 78,171,136.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.