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Finding the Third Proportional to 14,305,500 and 30,656,412

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Solution

The third proportional to 14,305,500 and 30,656,412 is: 65,696,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305,500 : 30,656,412 = 30,656,412 : x
  2. Step 2: Convert to fraction form
    14,305,500/30,656,412 = 30,656,412/x
  3. Step 3: Cross multiply
    14,305,500x = 30,656,412 × 30,656,412
  4. Step 4: Simplify right side
    14,305,500x = 939,815,596,713,744
  5. Step 5: Solve for x
    x = 939,815,596,713,744/14,305,500
  6. Step 6: Final answer
    x = 65,696,102.67

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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.