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Finding the Third Proportional to 5,462,442 and 8,440,069.50

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Solution

The third proportional to 5,462,442 and 8,440,069.50 is: 13,040,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462,442 : 8,440,069.50 = 8,440,069.50 : x
  2. Step 2: Convert to fraction form
    5,462,442/8,440,069.50 = 8,440,069.50/x
  3. Step 3: Cross multiply
    5,462,442x = 8,440,069.50 × 8,440,069.50
  4. Step 4: Simplify right side
    5,462,442x = 71,234,773,164,830.25
  5. Step 5: Solve for x
    x = 71,234,773,164,830.25/5,462,442
  6. Step 6: Final answer
    x = 13,040,829.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.