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Finding the Third Proportional to 7,868,289 and 16,932,323

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Solution

The third proportional to 7,868,289 and 16,932,323 is: 36,437,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868,289 : 16,932,323 = 16,932,323 : x
  2. Step 2: Convert to fraction form
    7,868,289/16,932,323 = 16,932,323/x
  3. Step 3: Cross multiply
    7,868,289x = 16,932,323 × 16,932,323
  4. Step 4: Simplify right side
    7,868,289x = 286,703,562,176,329
  5. Step 5: Solve for x
    x = 286,703,562,176,329/7,868,289
  6. Step 6: Final answer
    x = 36,437,853.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.