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Finding the Third Proportional to 10,684,038 and 16,553,844

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Solution

The third proportional to 10,684,038 and 16,553,844 is: 25,648,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,038 : 16,553,844 = 16,553,844 : x
  2. Step 2: Convert to fraction form
    10,684,038/16,553,844 = 16,553,844/x
  3. Step 3: Cross multiply
    10,684,038x = 16,553,844 × 16,553,844
  4. Step 4: Simplify right side
    10,684,038x = 274,029,751,176,336
  5. Step 5: Solve for x
    x = 274,029,751,176,336/10,684,038
  6. Step 6: Final answer
    x = 25,648,518.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.