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Finding the Third Proportional to 14,685,744 and 31,812,216

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Solution

The third proportional to 14,685,744 and 31,812,216 is: 68,911,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685,744 : 31,812,216 = 31,812,216 : x
  2. Step 2: Convert to fraction form
    14,685,744/31,812,216 = 31,812,216/x
  3. Step 3: Cross multiply
    14,685,744x = 31,812,216 × 31,812,216
  4. Step 4: Simplify right side
    14,685,744x = 1,012,017,086,830,656
  5. Step 5: Solve for x
    x = 1,012,017,086,830,656/14,685,744
  6. Step 6: Final answer
    x = 68,911,529.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.