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Finding the Third Proportional to 2,558,095,209 and 5,597,616,186

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Solution

The third proportional to 2,558,095,209 and 5,597,616,186 is: 12,248,686,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,095,209 : 5,597,616,186 = 5,597,616,186 : x
  2. Step 2: Convert to fraction form
    2,558,095,209/5,597,616,186 = 5,597,616,186/x
  3. Step 3: Cross multiply
    2,558,095,209x = 5,597,616,186 × 5,597,616,186
  4. Step 4: Simplify right side
    2,558,095,209x = 31,333,306,965,769,187,328
  5. Step 5: Solve for x
    x = 31,333,306,965,769,187,328/2,558,095,209
  6. Step 6: Final answer
    x = 12,248,686,778.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.