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Finding the Third Proportional to 6,233,211,262,512 and 13,404,499,386,402

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Solution

The third proportional to 6,233,211,262,512 and 13,404,499,386,402 is: 28,826,329,837,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233,211,262,512 : 13,404,499,386,402 = 13,404,499,386,402 : x
  2. Step 2: Convert to fraction form
    6,233,211,262,512/13,404,499,386,402 = 13,404,499,386,402/x
  3. Step 3: Cross multiply
    6,233,211,262,512x = 13,404,499,386,402 × 13,404,499,386,402
  4. Step 4: Simplify right side
    6,233,211,262,512x = 179,680,603,800,051,586,300,903,424
  5. Step 5: Solve for x
    x = 179,680,603,800,051,586,300,903,424/6,233,211,262,512
  6. Step 6: Final answer
    x = 28,826,329,837,509.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.