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Finding the Third Proportional to 37,464,585,565 and 80,900,376,323

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Solution

The third proportional to 37,464,585,565 and 80,900,376,323 is: 174,694,869,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464,585,565 : 80,900,376,323 = 80,900,376,323 : x
  2. Step 2: Convert to fraction form
    37,464,585,565/80,900,376,323 = 80,900,376,323/x
  3. Step 3: Cross multiply
    37,464,585,565x = 80,900,376,323 × 80,900,376,323
  4. Step 4: Simplify right side
    37,464,585,565x = 6,544,870,889,203,019,284,480
  5. Step 5: Solve for x
    x = 6,544,870,889,203,019,284,480/37,464,585,565
  6. Step 6: Final answer
    x = 174,694,869,581.51

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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.