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Finding the Third Proportional to 5,402,080 and 8,240,283

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Solution

The third proportional to 5,402,080 and 8,240,283 is: 12,569,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402,080 : 8,240,283 = 8,240,283 : x
  2. Step 2: Convert to fraction form
    5,402,080/8,240,283 = 8,240,283/x
  3. Step 3: Cross multiply
    5,402,080x = 8,240,283 × 8,240,283
  4. Step 4: Simplify right side
    5,402,080x = 67,902,263,920,089
  5. Step 5: Solve for x
    x = 67,902,263,920,089/5,402,080
  6. Step 6: Final answer
    x = 12,569,651.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.