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Finding the Third Proportional to 6,404,020 and 9,738,062

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Solution

The third proportional to 6,404,020 and 9,738,062 is: 14,807,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,020 : 9,738,062 = 9,738,062 : x
  2. Step 2: Convert to fraction form
    6,404,020/9,738,062 = 9,738,062/x
  3. Step 3: Cross multiply
    6,404,020x = 9,738,062 × 9,738,062
  4. Step 4: Simplify right side
    6,404,020x = 94,829,851,515,844
  5. Step 5: Solve for x
    x = 94,829,851,515,844/6,404,020
  6. Step 6: Final answer
    x = 14,807,863.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.