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Finding the Third Proportional to 30,846,752.44 and 67,003,541.72

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Solution

The third proportional to 30,846,752.44 and 67,003,541.72 is: 145,541,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846,752.44 : 67,003,541.72 = 67,003,541.72 : x
  2. Step 2: Convert to fraction form
    30,846,752.44/67,003,541.72 = 67,003,541.72/x
  3. Step 3: Cross multiply
    30,846,752.44x = 67,003,541.72 × 67,003,541.72
  4. Step 4: Simplify right side
    30,846,752.44x = 4,489,474,602,856,271.50
  5. Step 5: Solve for x
    x = 4,489,474,602,856,271.50/30,846,752.44
  6. Step 6: Final answer
    x = 145,541,240.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.