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Finding the Third Proportional to 15,384,416 and 32,828,184

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Solution

The third proportional to 15,384,416 and 32,828,184 is: 70,050,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384,416 : 32,828,184 = 32,828,184 : x
  2. Step 2: Convert to fraction form
    15,384,416/32,828,184 = 32,828,184/x
  3. Step 3: Cross multiply
    15,384,416x = 32,828,184 × 32,828,184
  4. Step 4: Simplify right side
    15,384,416x = 1,077,689,664,737,856
  5. Step 5: Solve for x
    x = 1,077,689,664,737,856/15,384,416
  6. Step 6: Final answer
    x = 70,050,736.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.