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Finding the Third Proportional to 1,072,345,854 and 2,314,064,652

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Solution

The third proportional to 1,072,345,854 and 2,314,064,652 is: 4,993,627,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,345,854 : 2,314,064,652 = 2,314,064,652 : x
  2. Step 2: Convert to fraction form
    1,072,345,854/2,314,064,652 = 2,314,064,652/x
  3. Step 3: Cross multiply
    1,072,345,854x = 2,314,064,652 × 2,314,064,652
  4. Step 4: Simplify right side
    1,072,345,854x = 5,354,895,213,635,880,960
  5. Step 5: Solve for x
    x = 5,354,895,213,635,880,960/1,072,345,854
  6. Step 6: Final answer
    x = 4,993,627,003.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.