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Finding the Third Proportional to 14,823,135 and 32,120,523

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Solution

The third proportional to 14,823,135 and 32,120,523 is: 69,602,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823,135 : 32,120,523 = 32,120,523 : x
  2. Step 2: Convert to fraction form
    14,823,135/32,120,523 = 32,120,523/x
  3. Step 3: Cross multiply
    14,823,135x = 32,120,523 × 32,120,523
  4. Step 4: Simplify right side
    14,823,135x = 1,031,727,997,793,529
  5. Step 5: Solve for x
    x = 1,031,727,997,793,529/14,823,135
  6. Step 6: Final answer
    x = 69,602,550.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.