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Finding the Third Proportional to 14,662,006 and 31,594,664

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Solution

The third proportional to 14,662,006 and 31,594,664 is: 68,082,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662,006 : 31,594,664 = 31,594,664 : x
  2. Step 2: Convert to fraction form
    14,662,006/31,594,664 = 31,594,664/x
  3. Step 3: Cross multiply
    14,662,006x = 31,594,664 × 31,594,664
  4. Step 4: Simplify right side
    14,662,006x = 998,222,793,272,896
  5. Step 5: Solve for x
    x = 998,222,793,272,896/14,662,006
  6. Step 6: Final answer
    x = 68,082,279.69

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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.