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Finding the Third Proportional to 48,431,977.84 and 74,543,604.54

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Solution

The third proportional to 48,431,977.84 and 74,543,604.54 is: 114,733,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,431,977.84 : 74,543,604.54 = 74,543,604.54 : x
  2. Step 2: Convert to fraction form
    48,431,977.84/74,543,604.54 = 74,543,604.54/x
  3. Step 3: Cross multiply
    48,431,977.84x = 74,543,604.54 × 74,543,604.54
  4. Step 4: Simplify right side
    48,431,977.84x = 5,556,748,977,676,364
  5. Step 5: Solve for x
    x = 5,556,748,977,676,364/48,431,977.84
  6. Step 6: Final answer
    x = 114,733,059.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.