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Finding the Third Proportional to 688,697,888,172.50 and 1,491,994,870,521.50

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Solution

The third proportional to 688,697,888,172.50 and 1,491,994,870,521.50 is: 3,232,257,179,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,697,888,172.50 : 1,491,994,870,521.50 = 1,491,994,870,521.50 : x
  2. Step 2: Convert to fraction form
    688,697,888,172.50/1,491,994,870,521.50 = 1,491,994,870,521.50/x
  3. Step 3: Cross multiply
    688,697,888,172.50x = 1,491,994,870,521.50 × 1,491,994,870,521.50
  4. Step 4: Simplify right side
    688,697,888,172.50x = 2,226,048,693,662,467,644,981,248
  5. Step 5: Solve for x
    x = 2,226,048,693,662,467,644,981,248/688,697,888,172.50
  6. Step 6: Final answer
    x = 3,232,257,179,660.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.