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Finding the Third Proportional to 14,189,623 and 31,029,221

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Solution

The third proportional to 14,189,623 and 31,029,221 is: 67,853,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189,623 : 31,029,221 = 31,029,221 : x
  2. Step 2: Convert to fraction form
    14,189,623/31,029,221 = 31,029,221/x
  3. Step 3: Cross multiply
    14,189,623x = 31,029,221 × 31,029,221
  4. Step 4: Simplify right side
    14,189,623x = 962,812,555,866,841
  5. Step 5: Solve for x
    x = 962,812,555,866,841/14,189,623
  6. Step 6: Final answer
    x = 67,853,286.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.