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Finding the Third Proportional to 8,769,381,875.02 and 18,003,655,314.56

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Solution

The third proportional to 8,769,381,875.02 and 18,003,655,314.56 is: 36,961,739,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769,381,875.02 : 18,003,655,314.56 = 18,003,655,314.56 : x
  2. Step 2: Convert to fraction form
    8,769,381,875.02/18,003,655,314.56 = 18,003,655,314.56/x
  3. Step 3: Cross multiply
    8,769,381,875.02x = 18,003,655,314.56 × 18,003,655,314.56
  4. Step 4: Simplify right side
    8,769,381,875.02x = 324,131,604,685,556,547,584
  5. Step 5: Solve for x
    x = 324,131,604,685,556,547,584/8,769,381,875.02
  6. Step 6: Final answer
    x = 36,961,739,071.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.