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Finding the Third Proportional to 9,876,980 and 14,841,714

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Solution

The third proportional to 9,876,980 and 14,841,714 is: 22,302,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876,980 : 14,841,714 = 14,841,714 : x
  2. Step 2: Convert to fraction form
    9,876,980/14,841,714 = 14,841,714/x
  3. Step 3: Cross multiply
    9,876,980x = 14,841,714 × 14,841,714
  4. Step 4: Simplify right side
    9,876,980x = 220,276,474,457,796
  5. Step 5: Solve for x
    x = 220,276,474,457,796/9,876,980
  6. Step 6: Final answer
    x = 22,302,006.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.