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Finding the Third Proportional to 7,575,930 and 16,569,042

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Solution

The third proportional to 7,575,930 and 16,569,042 is: 36,237,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575,930 : 16,569,042 = 16,569,042 : x
  2. Step 2: Convert to fraction form
    7,575,930/16,569,042 = 16,569,042/x
  3. Step 3: Cross multiply
    7,575,930x = 16,569,042 × 16,569,042
  4. Step 4: Simplify right side
    7,575,930x = 274,533,152,797,764
  5. Step 5: Solve for x
    x = 274,533,152,797,764/7,575,930
  6. Step 6: Final answer
    x = 36,237,551.40

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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.