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Finding the Third Proportional to 7,575,551 and 16,214,714

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Solution

The third proportional to 7,575,551 and 16,214,714 is: 34,705,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575,551 : 16,214,714 = 16,214,714 : x
  2. Step 2: Convert to fraction form
    7,575,551/16,214,714 = 16,214,714/x
  3. Step 3: Cross multiply
    7,575,551x = 16,214,714 × 16,214,714
  4. Step 4: Simplify right side
    7,575,551x = 262,916,950,101,796
  5. Step 5: Solve for x
    x = 262,916,950,101,796/7,575,551
  6. Step 6: Final answer
    x = 34,705,983.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.