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Finding the Third Proportional to 3,984,701,096 and 8,720,032,534

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Solution

The third proportional to 3,984,701,096 and 8,720,032,534 is: 19,082,728,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984,701,096 : 8,720,032,534 = 8,720,032,534 : x
  2. Step 2: Convert to fraction form
    3,984,701,096/8,720,032,534 = 8,720,032,534/x
  3. Step 3: Cross multiply
    3,984,701,096x = 8,720,032,534 × 8,720,032,534
  4. Step 4: Simplify right side
    3,984,701,096x = 76,038,967,394,018,459,648
  5. Step 5: Solve for x
    x = 76,038,967,394,018,459,648/3,984,701,096
  6. Step 6: Final answer
    x = 19,082,728,054.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.