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Finding the Third Proportional to 14,574,082 and 31,390,188

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Solution

The third proportional to 14,574,082 and 31,390,188 is: 67,609,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574,082 : 31,390,188 = 31,390,188 : x
  2. Step 2: Convert to fraction form
    14,574,082/31,390,188 = 31,390,188/x
  3. Step 3: Cross multiply
    14,574,082x = 31,390,188 × 31,390,188
  4. Step 4: Simplify right side
    14,574,082x = 985,343,902,675,344
  5. Step 5: Solve for x
    x = 985,343,902,675,344/14,574,082
  6. Step 6: Final answer
    x = 67,609,328.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.