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Finding the Third Proportional to 4,897,653.19 and 11,436,822

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Solution

The third proportional to 4,897,653.19 and 11,436,822 is: 26,706,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897,653.19 : 11,436,822 = 11,436,822 : x
  2. Step 2: Convert to fraction form
    4,897,653.19/11,436,822 = 11,436,822/x
  3. Step 3: Cross multiply
    4,897,653.19x = 11,436,822 × 11,436,822
  4. Step 4: Simplify right side
    4,897,653.19x = 130,800,897,459,684
  5. Step 5: Solve for x
    x = 130,800,897,459,684/4,897,653.19
  6. Step 6: Final answer
    x = 26,706,851.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.