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Finding the Third Proportional to 9,985,860 and 21,509,910

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Solution

The third proportional to 9,985,860 and 21,509,910 is: 46,333,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985,860 : 21,509,910 = 21,509,910 : x
  2. Step 2: Convert to fraction form
    9,985,860/21,509,910 = 21,509,910/x
  3. Step 3: Cross multiply
    9,985,860x = 21,509,910 × 21,509,910
  4. Step 4: Simplify right side
    9,985,860x = 462,676,228,208,100
  5. Step 5: Solve for x
    x = 462,676,228,208,100/9,985,860
  6. Step 6: Final answer
    x = 46,333,137.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.