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Finding the Third Proportional to 14,386,125 and 30,819,105

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Solution

The third proportional to 14,386,125 and 30,819,105 is: 66,023,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386,125 : 30,819,105 = 30,819,105 : x
  2. Step 2: Convert to fraction form
    14,386,125/30,819,105 = 30,819,105/x
  3. Step 3: Cross multiply
    14,386,125x = 30,819,105 × 30,819,105
  4. Step 4: Simplify right side
    14,386,125x = 949,817,233,001,025
  5. Step 5: Solve for x
    x = 949,817,233,001,025/14,386,125
  6. Step 6: Final answer
    x = 66,023,146.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.