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Finding the Third Proportional to 14,302,065 and 31,277,872.50

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Solution

The third proportional to 14,302,065 and 31,277,872.50 is: 68,403,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302,065 : 31,277,872.50 = 31,277,872.50 : x
  2. Step 2: Convert to fraction form
    14,302,065/31,277,872.50 = 31,277,872.50/x
  3. Step 3: Cross multiply
    14,302,065x = 31,277,872.50 × 31,277,872.50
  4. Step 4: Simplify right side
    14,302,065x = 978,305,308,126,256.25
  5. Step 5: Solve for x
    x = 978,305,308,126,256.25/14,302,065
  6. Step 6: Final answer
    x = 68,403,080.82

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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.