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Finding the Third Proportional to 74,823,524,704 and 162,819,005,888

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Solution

The third proportional to 74,823,524,704 and 162,819,005,888 is: 354,300,720,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,823,524,704 : 162,819,005,888 = 162,819,005,888 : x
  2. Step 2: Convert to fraction form
    74,823,524,704/162,819,005,888 = 162,819,005,888/x
  3. Step 3: Cross multiply
    74,823,524,704x = 162,819,005,888 × 162,819,005,888
  4. Step 4: Simplify right side
    74,823,524,704x = 26,510,028,678,356,577,288,192
  5. Step 5: Solve for x
    x = 26,510,028,678,356,577,288,192/74,823,524,704
  6. Step 6: Final answer
    x = 354,300,720,037.31

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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.