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Finding the Third Proportional to 1,630,233,165 and 3,580,730,058

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Solution

The third proportional to 1,630,233,165 and 3,580,730,058 is: 7,864,904,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,233,165 : 3,580,730,058 = 3,580,730,058 : x
  2. Step 2: Convert to fraction form
    1,630,233,165/3,580,730,058 = 3,580,730,058/x
  3. Step 3: Cross multiply
    1,630,233,165x = 3,580,730,058 × 3,580,730,058
  4. Step 4: Simplify right side
    1,630,233,165x = 12,821,627,748,264,683,520
  5. Step 5: Solve for x
    x = 12,821,627,748,264,683,520/1,630,233,165
  6. Step 6: Final answer
    x = 7,864,904,250.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.