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Finding the Third Proportional to 37,411,759,766 and 81,409,497,988

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Solution

The third proportional to 37,411,759,766 and 81,409,497,988 is: 177,150,350,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411,759,766 : 81,409,497,988 = 81,409,497,988 : x
  2. Step 2: Convert to fraction form
    37,411,759,766/81,409,497,988 = 81,409,497,988/x
  3. Step 3: Cross multiply
    37,411,759,766x = 81,409,497,988 × 81,409,497,988
  4. Step 4: Simplify right side
    37,411,759,766x = 6,627,506,362,658,175,582,208
  5. Step 5: Solve for x
    x = 6,627,506,362,658,175,582,208/37,411,759,766
  6. Step 6: Final answer
    x = 177,150,350,694.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.