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Finding the Third Proportional to 374,800,465,376.73 and 570,982,583,443.08

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Solution

The third proportional to 374,800,465,376.73 and 570,982,583,443.08 is: 869,852,470,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,800,465,376.73 : 570,982,583,443.08 = 570,982,583,443.08 : x
  2. Step 2: Convert to fraction form
    374,800,465,376.73/570,982,583,443.08 = 570,982,583,443.08/x
  3. Step 3: Cross multiply
    374,800,465,376.73x = 570,982,583,443.08 × 570,982,583,443.08
  4. Step 4: Simplify right side
    374,800,465,376.73x = 326,021,110,595,333,734,268,928
  5. Step 5: Solve for x
    x = 326,021,110,595,333,734,268,928/374,800,465,376.73
  6. Step 6: Final answer
    x = 869,852,470,080.67

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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.