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Finding the Third Proportional to 14,571,764 and 31,386,144

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Solution

The third proportional to 14,571,764 and 31,386,144 is: 67,602,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571,764 : 31,386,144 = 31,386,144 : x
  2. Step 2: Convert to fraction form
    14,571,764/31,386,144 = 31,386,144/x
  3. Step 3: Cross multiply
    14,571,764x = 31,386,144 × 31,386,144
  4. Step 4: Simplify right side
    14,571,764x = 985,090,035,188,736
  5. Step 5: Solve for x
    x = 985,090,035,188,736/14,571,764
  6. Step 6: Final answer
    x = 67,602,661.91

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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.