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Finding the Third Proportional to 6,868,014 and 14,931,774

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Solution

The third proportional to 6,868,014 and 14,931,774 is: 32,463,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868,014 : 14,931,774 = 14,931,774 : x
  2. Step 2: Convert to fraction form
    6,868,014/14,931,774 = 14,931,774/x
  3. Step 3: Cross multiply
    6,868,014x = 14,931,774 × 14,931,774
  4. Step 4: Simplify right side
    6,868,014x = 222,957,874,787,076
  5. Step 5: Solve for x
    x = 222,957,874,787,076/6,868,014
  6. Step 6: Final answer
    x = 32,463,223.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.