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Finding the Third Proportional to 66,457,056,678 and 142,993,553,171

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Solution

The third proportional to 66,457,056,678 and 142,993,553,171 is: 307,674,719,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,457,056,678 : 142,993,553,171 = 142,993,553,171 : x
  2. Step 2: Convert to fraction form
    66,457,056,678/142,993,553,171 = 142,993,553,171/x
  3. Step 3: Cross multiply
    66,457,056,678x = 142,993,553,171 × 142,993,553,171
  4. Step 4: Simplify right side
    66,457,056,678x = 20,447,156,248,467,602,407,424
  5. Step 5: Solve for x
    x = 20,447,156,248,467,602,407,424/66,457,056,678
  6. Step 6: Final answer
    x = 307,674,719,142.90

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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.