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Finding the Third Proportional to 23,662,176 and 48,445,184

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Solution

The third proportional to 23,662,176 and 48,445,184 is: 99,185,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662,176 : 48,445,184 = 48,445,184 : x
  2. Step 2: Convert to fraction form
    23,662,176/48,445,184 = 48,445,184/x
  3. Step 3: Cross multiply
    23,662,176x = 48,445,184 × 48,445,184
  4. Step 4: Simplify right side
    23,662,176x = 2,346,935,852,793,856
  5. Step 5: Solve for x
    x = 2,346,935,852,793,856/23,662,176
  6. Step 6: Final answer
    x = 99,185,123.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.