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Finding the Third Proportional to 8,423,262 and 13,326,342

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Solution

The third proportional to 8,423,262 and 13,326,342 is: 21,083,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423,262 : 13,326,342 = 13,326,342 : x
  2. Step 2: Convert to fraction form
    8,423,262/13,326,342 = 13,326,342/x
  3. Step 3: Cross multiply
    8,423,262x = 13,326,342 × 13,326,342
  4. Step 4: Simplify right side
    8,423,262x = 177,591,391,100,964
  5. Step 5: Solve for x
    x = 177,591,391,100,964/8,423,262
  6. Step 6: Final answer
    x = 21,083,446.19

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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.