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Finding the Third Proportional to 12,862,164 and 20,474,046

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Solution

The third proportional to 12,862,164 and 20,474,046 is: 32,590,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862,164 : 20,474,046 = 20,474,046 : x
  2. Step 2: Convert to fraction form
    12,862,164/20,474,046 = 20,474,046/x
  3. Step 3: Cross multiply
    12,862,164x = 20,474,046 × 20,474,046
  4. Step 4: Simplify right side
    12,862,164x = 419,186,559,610,116
  5. Step 5: Solve for x
    x = 419,186,559,610,116/12,862,164
  6. Step 6: Final answer
    x = 32,590,671.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.