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Finding the Third Proportional to 5,765,935,428 and 12,588,769,152

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Solution

The third proportional to 5,765,935,428 and 12,588,769,152 is: 27,485,064,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765,935,428 : 12,588,769,152 = 12,588,769,152 : x
  2. Step 2: Convert to fraction form
    5,765,935,428/12,588,769,152 = 12,588,769,152/x
  3. Step 3: Cross multiply
    5,765,935,428x = 12,588,769,152 × 12,588,769,152
  4. Step 4: Simplify right side
    5,765,935,428x = 158,477,108,762,346,782,720
  5. Step 5: Solve for x
    x = 158,477,108,762,346,782,720/5,765,935,428
  6. Step 6: Final answer
    x = 27,485,064,781.12

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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.