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Finding the Third Proportional to 9,642,024 and 14,118,012

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Solution

The third proportional to 9,642,024 and 14,118,012 is: 20,671,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642,024 : 14,118,012 = 14,118,012 : x
  2. Step 2: Convert to fraction form
    9,642,024/14,118,012 = 14,118,012/x
  3. Step 3: Cross multiply
    9,642,024x = 14,118,012 × 14,118,012
  4. Step 4: Simplify right side
    9,642,024x = 199,318,262,832,144
  5. Step 5: Solve for x
    x = 199,318,262,832,144/9,642,024
  6. Step 6: Final answer
    x = 20,671,828.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.