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Finding the Third Proportional to 9,764,144 and 21,264,128

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Solution

The third proportional to 9,764,144 and 21,264,128 is: 46,308,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,144 : 21,264,128 = 21,264,128 : x
  2. Step 2: Convert to fraction form
    9,764,144/21,264,128 = 21,264,128/x
  3. Step 3: Cross multiply
    9,764,144x = 21,264,128 × 21,264,128
  4. Step 4: Simplify right side
    9,764,144x = 452,163,139,600,384
  5. Step 5: Solve for x
    x = 452,163,139,600,384/9,764,144
  6. Step 6: Final answer
    x = 46,308,528.39

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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.