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Finding the Third Proportional to 688,697,888,175 and 1,491,994,870,526

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Solution

The third proportional to 688,697,888,175 and 1,491,994,870,526 is: 3,232,257,179,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,697,888,175 : 1,491,994,870,526 = 1,491,994,870,526 : x
  2. Step 2: Convert to fraction form
    688,697,888,175/1,491,994,870,526 = 1,491,994,870,526/x
  3. Step 3: Cross multiply
    688,697,888,175x = 1,491,994,870,526 × 1,491,994,870,526
  4. Step 4: Simplify right side
    688,697,888,175x = 2,226,048,693,675,895,591,796,736
  5. Step 5: Solve for x
    x = 2,226,048,693,675,895,591,796,736/688,697,888,175
  6. Step 6: Final answer
    x = 3,232,257,179,668.09

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