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Finding the Third Proportional to 5,752,567.50 and 12,302,979.75

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Solution

The third proportional to 5,752,567.50 and 12,302,979.75 is: 26,312,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752,567.50 : 12,302,979.75 = 12,302,979.75 : x
  2. Step 2: Convert to fraction form
    5,752,567.50/12,302,979.75 = 12,302,979.75/x
  3. Step 3: Cross multiply
    5,752,567.50x = 12,302,979.75 × 12,302,979.75
  4. Step 4: Simplify right side
    5,752,567.50x = 151,363,310,728,910.06
  5. Step 5: Solve for x
    x = 151,363,310,728,910.06/5,752,567.50
  6. Step 6: Final answer
    x = 26,312,305.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.