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Finding the Third Proportional to 14,571,738 and 31,386,094

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Solution

The third proportional to 14,571,738 and 31,386,094 is: 67,602,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571,738 : 31,386,094 = 31,386,094 : x
  2. Step 2: Convert to fraction form
    14,571,738/31,386,094 = 31,386,094/x
  3. Step 3: Cross multiply
    14,571,738x = 31,386,094 × 31,386,094
  4. Step 4: Simplify right side
    14,571,738x = 985,086,896,576,836
  5. Step 5: Solve for x
    x = 985,086,896,576,836/14,571,738
  6. Step 6: Final answer
    x = 67,602,567.15

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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.