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Finding the Third Proportional to 5,689,564 and 12,441,352

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Solution

The third proportional to 5,689,564 and 12,441,352 is: 27,205,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689,564 : 12,441,352 = 12,441,352 : x
  2. Step 2: Convert to fraction form
    5,689,564/12,441,352 = 12,441,352/x
  3. Step 3: Cross multiply
    5,689,564x = 12,441,352 × 12,441,352
  4. Step 4: Simplify right side
    5,689,564x = 154,787,239,587,904
  5. Step 5: Solve for x
    x = 154,787,239,587,904/5,689,564
  6. Step 6: Final answer
    x = 27,205,465.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.