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Finding the Third Proportional to 14,545,678 and 31,645,184

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Solution

The third proportional to 14,545,678 and 31,645,184 is: 68,846,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545,678 : 31,645,184 = 31,645,184 : x
  2. Step 2: Convert to fraction form
    14,545,678/31,645,184 = 31,645,184/x
  3. Step 3: Cross multiply
    14,545,678x = 31,645,184 × 31,645,184
  4. Step 4: Simplify right side
    14,545,678x = 1,001,417,670,393,856
  5. Step 5: Solve for x
    x = 1,001,417,670,393,856/14,545,678
  6. Step 6: Final answer
    x = 68,846,407.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.