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Finding the Third Proportional to 5,765,935,430 and 12,588,769,156

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Solution

The third proportional to 5,765,935,430 and 12,588,769,156 is: 27,485,064,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765,935,430 : 12,588,769,156 = 12,588,769,156 : x
  2. Step 2: Convert to fraction form
    5,765,935,430/12,588,769,156 = 12,588,769,156/x
  3. Step 3: Cross multiply
    5,765,935,430x = 12,588,769,156 × 12,588,769,156
  4. Step 4: Simplify right side
    5,765,935,430x = 158,477,108,863,056,936,960
  5. Step 5: Solve for x
    x = 158,477,108,863,056,936,960/5,765,935,430
  6. Step 6: Final answer
    x = 27,485,064,789.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.