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Finding the Third Proportional to 1,639,411,024 and 3,540,580,064

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Solution

The third proportional to 1,639,411,024 and 3,540,580,064 is: 7,646,469,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639,411,024 : 3,540,580,064 = 3,540,580,064 : x
  2. Step 2: Convert to fraction form
    1,639,411,024/3,540,580,064 = 3,540,580,064/x
  3. Step 3: Cross multiply
    1,639,411,024x = 3,540,580,064 × 3,540,580,064
  4. Step 4: Simplify right side
    1,639,411,024x = 12,535,707,189,594,243,072
  5. Step 5: Solve for x
    x = 12,535,707,189,594,243,072/1,639,411,024
  6. Step 6: Final answer
    x = 7,646,469,985.92

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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.