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Finding the Third Proportional to 7,422,306 and 11,492,613

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Solution

The third proportional to 7,422,306 and 11,492,613 is: 17,795,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422,306 : 11,492,613 = 11,492,613 : x
  2. Step 2: Convert to fraction form
    7,422,306/11,492,613 = 11,492,613/x
  3. Step 3: Cross multiply
    7,422,306x = 11,492,613 × 11,492,613
  4. Step 4: Simplify right side
    7,422,306x = 132,080,153,567,769
  5. Step 5: Solve for x
    x = 132,080,153,567,769/7,422,306
  6. Step 6: Final answer
    x = 17,795,029.41

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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.