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Finding the Third Proportional to 41,286,476.46 and 57,862,714.82

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Solution

The third proportional to 41,286,476.46 and 57,862,714.82 is: 81,094,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,286,476.46 : 57,862,714.82 = 57,862,714.82 : x
  2. Step 2: Convert to fraction form
    41,286,476.46/57,862,714.82 = 57,862,714.82/x
  3. Step 3: Cross multiply
    41,286,476.46x = 57,862,714.82 × 57,862,714.82
  4. Step 4: Simplify right side
    41,286,476.46x = 3,348,093,765,924,499
  5. Step 5: Solve for x
    x = 3,348,093,765,924,499/41,286,476.46
  6. Step 6: Final answer
    x = 81,094,199.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.