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Finding the Third Proportional to 7,328,896 and 10,774,176

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Solution

The third proportional to 7,328,896 and 10,774,176 is: 15,839,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328,896 : 10,774,176 = 10,774,176 : x
  2. Step 2: Convert to fraction form
    7,328,896/10,774,176 = 10,774,176/x
  3. Step 3: Cross multiply
    7,328,896x = 10,774,176 × 10,774,176
  4. Step 4: Simplify right side
    7,328,896x = 116,082,868,478,976
  5. Step 5: Solve for x
    x = 116,082,868,478,976/7,328,896
  6. Step 6: Final answer
    x = 15,839,066.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.