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Finding the Third Proportional to 3,060,540,324 and 6,546,583,368

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Solution

The third proportional to 3,060,540,324 and 6,546,583,368 is: 14,003,329,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060,540,324 : 6,546,583,368 = 6,546,583,368 : x
  2. Step 2: Convert to fraction form
    3,060,540,324/6,546,583,368 = 6,546,583,368/x
  3. Step 3: Cross multiply
    3,060,540,324x = 6,546,583,368 × 6,546,583,368
  4. Step 4: Simplify right side
    3,060,540,324x = 42,857,753,794,174,222,336
  5. Step 5: Solve for x
    x = 42,857,753,794,174,222,336/3,060,540,324
  6. Step 6: Final answer
    x = 14,003,329,235.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.