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Finding the Third Proportional to 37,464,585,561 and 80,900,376,315

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Solution

The third proportional to 37,464,585,561 and 80,900,376,315 is: 174,694,869,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464,585,561 : 80,900,376,315 = 80,900,376,315 : x
  2. Step 2: Convert to fraction form
    37,464,585,561/80,900,376,315 = 80,900,376,315/x
  3. Step 3: Cross multiply
    37,464,585,561x = 80,900,376,315 × 80,900,376,315
  4. Step 4: Simplify right side
    37,464,585,561x = 6,544,870,887,908,613,029,888
  5. Step 5: Solve for x
    x = 6,544,870,887,908,613,029,888/37,464,585,561
  6. Step 6: Final answer
    x = 174,694,869,565.61

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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.