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Finding the Third Proportional to 40,432,054,236 and 86,472,620,886

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Solution

The third proportional to 40,432,054,236 and 86,472,620,886 is: 184,940,248,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,432,054,236 : 86,472,620,886 = 86,472,620,886 : x
  2. Step 2: Convert to fraction form
    40,432,054,236/86,472,620,886 = 86,472,620,886/x
  3. Step 3: Cross multiply
    40,432,054,236x = 86,472,620,886 × 86,472,620,886
  4. Step 4: Simplify right side
    40,432,054,236x = 7,477,514,162,893,883,441,152
  5. Step 5: Solve for x
    x = 7,477,514,162,893,883,441,152/40,432,054,236
  6. Step 6: Final answer
    x = 184,940,248,626.70

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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.