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Finding the Third Proportional to 931,670,064 and 1,994,215,675

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Solution

The third proportional to 931,670,064 and 1,994,215,675 is: 4,268,567,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,670,064 : 1,994,215,675 = 1,994,215,675 : x
  2. Step 2: Convert to fraction form
    931,670,064/1,994,215,675 = 1,994,215,675/x
  3. Step 3: Cross multiply
    931,670,064x = 1,994,215,675 × 1,994,215,675
  4. Step 4: Simplify right side
    931,670,064x = 3,976,896,158,415,705,600
  5. Step 5: Solve for x
    x = 3,976,896,158,415,705,600/931,670,064
  6. Step 6: Final answer
    x = 4,268,567,073.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.