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Finding the Third Proportional to 6,493,213 and 10,281,291

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Solution

The third proportional to 6,493,213 and 10,281,291 is: 16,279,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493,213 : 10,281,291 = 10,281,291 : x
  2. Step 2: Convert to fraction form
    6,493,213/10,281,291 = 10,281,291/x
  3. Step 3: Cross multiply
    6,493,213x = 10,281,291 × 10,281,291
  4. Step 4: Simplify right side
    6,493,213x = 105,704,944,626,681
  5. Step 5: Solve for x
    x = 105,704,944,626,681/6,493,213
  6. Step 6: Final answer
    x = 16,279,297.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.