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Finding the Third Proportional to 14,788,234,632 and 34,874,763,001

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Solution

The third proportional to 14,788,234,632 and 34,874,763,001 is: 82,244,373,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788,234,632 : 34,874,763,001 = 34,874,763,001 : x
  2. Step 2: Convert to fraction form
    14,788,234,632/34,874,763,001 = 34,874,763,001/x
  3. Step 3: Cross multiply
    14,788,234,632x = 34,874,763,001 × 34,874,763,001
  4. Step 4: Simplify right side
    14,788,234,632x = 1,216,249,094,375,918,534,656
  5. Step 5: Solve for x
    x = 1,216,249,094,375,918,534,656/14,788,234,632
  6. Step 6: Final answer
    x = 82,244,373,628.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.