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Finding the Third Proportional to 5,754,213 and 12,592,071

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Solution

The third proportional to 5,754,213 and 12,592,071 is: 27,555,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754,213 : 12,592,071 = 12,592,071 : x
  2. Step 2: Convert to fraction form
    5,754,213/12,592,071 = 12,592,071/x
  3. Step 3: Cross multiply
    5,754,213x = 12,592,071 × 12,592,071
  4. Step 4: Simplify right side
    5,754,213x = 158,560,252,069,041
  5. Step 5: Solve for x
    x = 158,560,252,069,041/5,754,213
  6. Step 6: Final answer
    x = 27,555,506.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.