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Finding the Third Proportional to 764,106,812.25 and 1,146,968,970.75

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Solution

The third proportional to 764,106,812.25 and 1,146,968,970.75 is: 1,721,667,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,106,812.25 : 1,146,968,970.75 = 1,146,968,970.75 : x
  2. Step 2: Convert to fraction form
    764,106,812.25/1,146,968,970.75 = 1,146,968,970.75/x
  3. Step 3: Cross multiply
    764,106,812.25x = 1,146,968,970.75 × 1,146,968,970.75
  4. Step 4: Simplify right side
    764,106,812.25x = 1,315,537,819,863,314,432
  5. Step 5: Solve for x
    x = 1,315,537,819,863,314,432/764,106,812.25
  6. Step 6: Final answer
    x = 1,721,667,440.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.