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Finding the Third Proportional to 5,909,260 and 12,701,294

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Solution

The third proportional to 5,909,260 and 12,701,294 is: 27,300,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909,260 : 12,701,294 = 12,701,294 : x
  2. Step 2: Convert to fraction form
    5,909,260/12,701,294 = 12,701,294/x
  3. Step 3: Cross multiply
    5,909,260x = 12,701,294 × 12,701,294
  4. Step 4: Simplify right side
    5,909,260x = 161,322,869,274,436
  5. Step 5: Solve for x
    x = 161,322,869,274,436/5,909,260
  6. Step 6: Final answer
    x = 27,300,012.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.