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Finding the Third Proportional to 15,384,416 and 32,828,182

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Solution

The third proportional to 15,384,416 and 32,828,182 is: 70,050,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384,416 : 32,828,182 = 32,828,182 : x
  2. Step 2: Convert to fraction form
    15,384,416/32,828,182 = 32,828,182/x
  3. Step 3: Cross multiply
    15,384,416x = 32,828,182 × 32,828,182
  4. Step 4: Simplify right side
    15,384,416x = 1,077,689,533,425,124
  5. Step 5: Solve for x
    x = 1,077,689,533,425,124/15,384,416
  6. Step 6: Final answer
    x = 70,050,727.53

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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.