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Finding the Third Proportional to 6,004,116,657,381 and 8,455,119,317,601

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Solution

The third proportional to 6,004,116,657,381 and 8,455,119,317,601 is: 11,906,671,164,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004,116,657,381 : 8,455,119,317,601 = 8,455,119,317,601 : x
  2. Step 2: Convert to fraction form
    6,004,116,657,381/8,455,119,317,601 = 8,455,119,317,601/x
  3. Step 3: Cross multiply
    6,004,116,657,381x = 8,455,119,317,601 × 8,455,119,317,601
  4. Step 4: Simplify right side
    6,004,116,657,381x = 71,489,042,674,869,596,934,111,232
  5. Step 5: Solve for x
    x = 71,489,042,674,869,596,934,111,232/6,004,116,657,381
  6. Step 6: Final answer
    x = 11,906,671,164,855.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.