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Finding the Third Proportional to 6,514,455.38 and 12,865,412.25

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Solution

The third proportional to 6,514,455.38 and 12,865,412.25 is: 25,407,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,455.38 : 12,865,412.25 = 12,865,412.25 : x
  2. Step 2: Convert to fraction form
    6,514,455.38/12,865,412.25 = 12,865,412.25/x
  3. Step 3: Cross multiply
    6,514,455.38x = 12,865,412.25 × 12,865,412.25
  4. Step 4: Simplify right side
    6,514,455.38x = 165,518,832,362,450.06
  5. Step 5: Solve for x
    x = 165,518,832,362,450.06/6,514,455.38
  6. Step 6: Final answer
    x = 25,407,930.95

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.