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Finding the Third Proportional to 532,739,937,235.10 and 1,093,721,970,512.20

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Solution

The third proportional to 532,739,937,235.10 and 1,093,721,970,512.20 is: 2,245,425,328,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,739,937,235.10 : 1,093,721,970,512.20 = 1,093,721,970,512.20 : x
  2. Step 2: Convert to fraction form
    532,739,937,235.10/1,093,721,970,512.20 = 1,093,721,970,512.20/x
  3. Step 3: Cross multiply
    532,739,937,235.10x = 1,093,721,970,512.20 × 1,093,721,970,512.20
  4. Step 4: Simplify right side
    532,739,937,235.10x = 1,196,227,748,781,089,645,133,824
  5. Step 5: Solve for x
    x = 1,196,227,748,781,089,645,133,824/532,739,937,235.10
  6. Step 6: Final answer
    x = 2,245,425,328,893.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.