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Finding the Third Proportional to 19,168,599,908,529 and 38,870,588,500,070

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Solution

The third proportional to 19,168,599,908,529 and 38,870,588,500,070 is: 78,822,796,529,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,168,599,908,529 : 38,870,588,500,070 = 38,870,588,500,070 : x
  2. Step 2: Convert to fraction form
    19,168,599,908,529/38,870,588,500,070 = 38,870,588,500,070/x
  3. Step 3: Cross multiply
    19,168,599,908,529x = 38,870,588,500,070 × 38,870,588,500,070
  4. Step 4: Simplify right side
    19,168,599,908,529x = 1,510,922,650,341,774,193,850,318,848
  5. Step 5: Solve for x
    x = 1,510,922,650,341,774,193,850,318,848/19,168,599,908,529
  6. Step 6: Final answer
    x = 78,822,796,529,312.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.