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Finding the Third Proportional to 7,984,175,928.19 and 17,036,992,500.75

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Solution

The third proportional to 7,984,175,928.19 and 17,036,992,500.75 is: 36,354,298,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984,175,928.19 : 17,036,992,500.75 = 17,036,992,500.75 : x
  2. Step 2: Convert to fraction form
    7,984,175,928.19/17,036,992,500.75 = 17,036,992,500.75/x
  3. Step 3: Cross multiply
    7,984,175,928.19x = 17,036,992,500.75 × 17,036,992,500.75
  4. Step 4: Simplify right side
    7,984,175,928.19x = 290,259,113,470,611,750,912
  5. Step 5: Solve for x
    x = 290,259,113,470,611,750,912/7,984,175,928.19
  6. Step 6: Final answer
    x = 36,354,298,312.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.