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Finding the Third Proportional to 680,393,185 and 1,484,461,614

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Solution

The third proportional to 680,393,185 and 1,484,461,614 is: 3,238,754,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,393,185 : 1,484,461,614 = 1,484,461,614 : x
  2. Step 2: Convert to fraction form
    680,393,185/1,484,461,614 = 1,484,461,614/x
  3. Step 3: Cross multiply
    680,393,185x = 1,484,461,614 × 1,484,461,614
  4. Step 4: Simplify right side
    680,393,185x = 2,203,626,283,439,484,928
  5. Step 5: Solve for x
    x = 2,203,626,283,439,484,928/680,393,185
  6. Step 6: Final answer
    x = 3,238,754,196.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.