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Finding the Third Proportional to 37,789,020,260 and 81,186,032,968

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Solution

The third proportional to 37,789,020,260 and 81,186,032,968 is: 174,420,292,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,789,020,260 : 81,186,032,968 = 81,186,032,968 : x
  2. Step 2: Convert to fraction form
    37,789,020,260/81,186,032,968 = 81,186,032,968/x
  3. Step 3: Cross multiply
    37,789,020,260x = 81,186,032,968 × 81,186,032,968
  4. Step 4: Simplify right side
    37,789,020,260x = 6,591,171,949,081,183,387,648
  5. Step 5: Solve for x
    x = 6,591,171,949,081,183,387,648/37,789,020,260
  6. Step 6: Final answer
    x = 174,420,292,024.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.