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Finding the Third Proportional to 74,031,458 and 110,611,731

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Solution

The third proportional to 74,031,458 and 110,611,731 is: 165,266,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,031,458 : 110,611,731 = 110,611,731 : x
  2. Step 2: Convert to fraction form
    74,031,458/110,611,731 = 110,611,731/x
  3. Step 3: Cross multiply
    74,031,458x = 110,611,731 × 110,611,731
  4. Step 4: Simplify right side
    74,031,458x = 12,234,955,034,816,360
  5. Step 5: Solve for x
    x = 12,234,955,034,816,360/74,031,458
  6. Step 6: Final answer
    x = 165,266,973.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.