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Finding the Third Proportional to 6,482,106 and 13,924,989

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Solution

The third proportional to 6,482,106 and 13,924,989 is: 29,913,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482,106 : 13,924,989 = 13,924,989 : x
  2. Step 2: Convert to fraction form
    6,482,106/13,924,989 = 13,924,989/x
  3. Step 3: Cross multiply
    6,482,106x = 13,924,989 × 13,924,989
  4. Step 4: Simplify right side
    6,482,106x = 193,905,318,650,121
  5. Step 5: Solve for x
    x = 193,905,318,650,121/6,482,106
  6. Step 6: Final answer
    x = 29,913,938.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.