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Finding the Third Proportional to 6,334,664 and 13,830,896

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Solution

The third proportional to 6,334,664 and 13,830,896 is: 30,197,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334,664 : 13,830,896 = 13,830,896 : x
  2. Step 2: Convert to fraction form
    6,334,664/13,830,896 = 13,830,896/x
  3. Step 3: Cross multiply
    6,334,664x = 13,830,896 × 13,830,896
  4. Step 4: Simplify right side
    6,334,664x = 191,293,684,162,816
  5. Step 5: Solve for x
    x = 191,293,684,162,816/6,334,664
  6. Step 6: Final answer
    x = 30,197,921.18

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.