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Finding the Third Proportional to 6,987,397.50 and 14,814,603

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Solution

The third proportional to 6,987,397.50 and 14,814,603 is: 31,409,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987,397.50 : 14,814,603 = 14,814,603 : x
  2. Step 2: Convert to fraction form
    6,987,397.50/14,814,603 = 14,814,603/x
  3. Step 3: Cross multiply
    6,987,397.50x = 14,814,603 × 14,814,603
  4. Step 4: Simplify right side
    6,987,397.50x = 219,472,462,047,609
  5. Step 5: Solve for x
    x = 219,472,462,047,609/6,987,397.50
  6. Step 6: Final answer
    x = 31,409,757.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.