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Finding the Third Proportional to 37,464,585,534 and 80,900,376,250.50

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Solution

The third proportional to 37,464,585,534 and 80,900,376,250.50 is: 174,694,869,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464,585,534 : 80,900,376,250.50 = 80,900,376,250.50 : x
  2. Step 2: Convert to fraction form
    37,464,585,534/80,900,376,250.50 = 80,900,376,250.50/x
  3. Step 3: Cross multiply
    37,464,585,534x = 80,900,376,250.50 × 80,900,376,250.50
  4. Step 4: Simplify right side
    37,464,585,534x = 6,544,870,877,472,464,306,176
  5. Step 5: Solve for x
    x = 6,544,870,877,472,464,306,176/37,464,585,534
  6. Step 6: Final answer
    x = 174,694,869,412.95

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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.