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Finding the Third Proportional to 22,470,234.75 and 48,353,316.75

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Solution

The third proportional to 22,470,234.75 and 48,353,316.75 is: 104,050,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470,234.75 : 48,353,316.75 = 48,353,316.75 : x
  2. Step 2: Convert to fraction form
    22,470,234.75/48,353,316.75 = 48,353,316.75/x
  3. Step 3: Cross multiply
    22,470,234.75x = 48,353,316.75 × 48,353,316.75
  4. Step 4: Simplify right side
    22,470,234.75x = 2,338,043,240,725,830.50
  5. Step 5: Solve for x
    x = 2,338,043,240,725,830.50/22,470,234.75
  6. Step 6: Final answer
    x = 104,050,681.57

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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.