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Finding the Third Proportional to 6,734,080 and 14,415,552

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Solution

The third proportional to 6,734,080 and 14,415,552 is: 30,859,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734,080 : 14,415,552 = 14,415,552 : x
  2. Step 2: Convert to fraction form
    6,734,080/14,415,552 = 14,415,552/x
  3. Step 3: Cross multiply
    6,734,080x = 14,415,552 × 14,415,552
  4. Step 4: Simplify right side
    6,734,080x = 207,808,139,464,704
  5. Step 5: Solve for x
    x = 207,808,139,464,704/6,734,080
  6. Step 6: Final answer
    x = 30,859,172.96

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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.