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Finding the Third Proportional to 442,941,870 and 969,258,741

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Solution

The third proportional to 442,941,870 and 969,258,741 is: 2,120,961,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,941,870 : 969,258,741 = 969,258,741 : x
  2. Step 2: Convert to fraction form
    442,941,870/969,258,741 = 969,258,741/x
  3. Step 3: Cross multiply
    442,941,870x = 969,258,741 × 969,258,741
  4. Step 4: Simplify right side
    442,941,870x = 939,462,507,004,905,088
  5. Step 5: Solve for x
    x = 939,462,507,004,905,088/442,941,870
  6. Step 6: Final answer
    x = 2,120,961,170.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.