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Finding the Third Proportional to 1,675,869,942 and 3,641,819,190

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Solution

The third proportional to 1,675,869,942 and 3,641,819,190 is: 7,914,007,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,869,942 : 3,641,819,190 = 3,641,819,190 : x
  2. Step 2: Convert to fraction form
    1,675,869,942/3,641,819,190 = 3,641,819,190/x
  3. Step 3: Cross multiply
    1,675,869,942x = 3,641,819,190 × 3,641,819,190
  4. Step 4: Simplify right side
    1,675,869,942x = 13,262,847,012,652,255,232
  5. Step 5: Solve for x
    x = 13,262,847,012,652,255,232/1,675,869,942
  6. Step 6: Final answer
    x = 7,914,007,334.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.