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Finding the Third Proportional to 1,334,014,513.50 and 2,897,674,824

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Solution

The third proportional to 1,334,014,513.50 and 2,897,674,824 is: 6,294,173,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,014,513.50 : 2,897,674,824 = 2,897,674,824 : x
  2. Step 2: Convert to fraction form
    1,334,014,513.50/2,897,674,824 = 2,897,674,824/x
  3. Step 3: Cross multiply
    1,334,014,513.50x = 2,897,674,824 × 2,897,674,824
  4. Step 4: Simplify right side
    1,334,014,513.50x = 8,396,519,385,643,430,912
  5. Step 5: Solve for x
    x = 8,396,519,385,643,430,912/1,334,014,513.50
  6. Step 6: Final answer
    x = 6,294,173,939.39

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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.