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Finding the Third Proportional to 946,399,657.64 and 2,190,743,847.84

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Solution

The third proportional to 946,399,657.64 and 2,190,743,847.84 is: 5,071,175,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,399,657.64 : 2,190,743,847.84 = 2,190,743,847.84 : x
  2. Step 2: Convert to fraction form
    946,399,657.64/2,190,743,847.84 = 2,190,743,847.84/x
  3. Step 3: Cross multiply
    946,399,657.64x = 2,190,743,847.84 × 2,190,743,847.84
  4. Step 4: Simplify right side
    946,399,657.64x = 4,799,358,606,865,459,200
  5. Step 5: Solve for x
    x = 4,799,358,606,865,459,200/946,399,657.64
  6. Step 6: Final answer
    x = 5,071,175,341.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.