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Finding the Third Proportional to 6,863,470 and 14,922,140

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Solution

The third proportional to 6,863,470 and 14,922,140 is: 32,442,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,470 : 14,922,140 = 14,922,140 : x
  2. Step 2: Convert to fraction form
    6,863,470/14,922,140 = 14,922,140/x
  3. Step 3: Cross multiply
    6,863,470x = 14,922,140 × 14,922,140
  4. Step 4: Simplify right side
    6,863,470x = 222,670,262,179,600
  5. Step 5: Solve for x
    x = 222,670,262,179,600/6,863,470
  6. Step 6: Final answer
    x = 32,442,811.32

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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.