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Finding the Third Proportional to 10,455,567 and 22,771,339.50

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Solution

The third proportional to 10,455,567 and 22,771,339.50 is: 49,594,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455,567 : 22,771,339.50 = 22,771,339.50 : x
  2. Step 2: Convert to fraction form
    10,455,567/22,771,339.50 = 22,771,339.50/x
  3. Step 3: Cross multiply
    10,455,567x = 22,771,339.50 × 22,771,339.50
  4. Step 4: Simplify right side
    10,455,567x = 518,533,902,624,260.25
  5. Step 5: Solve for x
    x = 518,533,902,624,260.25/10,455,567
  6. Step 6: Final answer
    x = 49,594,049.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.