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Finding the Third Proportional to 5,663,176 and 12,227,928

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Solution

The third proportional to 5,663,176 and 12,227,928 is: 26,402,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,176 : 12,227,928 = 12,227,928 : x
  2. Step 2: Convert to fraction form
    5,663,176/12,227,928 = 12,227,928/x
  3. Step 3: Cross multiply
    5,663,176x = 12,227,928 × 12,227,928
  4. Step 4: Simplify right side
    5,663,176x = 149,522,223,173,184
  5. Step 5: Solve for x
    x = 149,522,223,173,184/5,663,176
  6. Step 6: Final answer
    x = 26,402,538.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.