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Finding the Third Proportional to 7,547,474 and 16,577,666

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Solution

The third proportional to 7,547,474 and 16,577,666 is: 36,412,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547,474 : 16,577,666 = 16,577,666 : x
  2. Step 2: Convert to fraction form
    7,547,474/16,577,666 = 16,577,666/x
  3. Step 3: Cross multiply
    7,547,474x = 16,577,666 × 16,577,666
  4. Step 4: Simplify right side
    7,547,474x = 274,819,010,007,556
  5. Step 5: Solve for x
    x = 274,819,010,007,556/7,547,474
  6. Step 6: Final answer
    x = 36,412,051.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.