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Finding the Third Proportional to 937,365,984 and 2,041,372,656

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Solution

The third proportional to 937,365,984 and 2,041,372,656 is: 4,445,651,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,365,984 : 2,041,372,656 = 2,041,372,656 : x
  2. Step 2: Convert to fraction form
    937,365,984/2,041,372,656 = 2,041,372,656/x
  3. Step 3: Cross multiply
    937,365,984x = 2,041,372,656 × 2,041,372,656
  4. Step 4: Simplify right side
    937,365,984x = 4,167,202,320,664,494,080
  5. Step 5: Solve for x
    x = 4,167,202,320,664,494,080/937,365,984
  6. Step 6: Final answer
    x = 4,445,651,316.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.