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Finding the Third Proportional to 3,312,199.69 and 6,746,187.94

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Solution

The third proportional to 3,312,199.69 and 6,746,187.94 is: 13,740,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312,199.69 : 6,746,187.94 = 6,746,187.94 : x
  2. Step 2: Convert to fraction form
    3,312,199.69/6,746,187.94 = 6,746,187.94/x
  3. Step 3: Cross multiply
    3,312,199.69x = 6,746,187.94 × 6,746,187.94
  4. Step 4: Simplify right side
    3,312,199.69x = 45,511,051,688,070.50
  5. Step 5: Solve for x
    x = 45,511,051,688,070.50/3,312,199.69
  6. Step 6: Final answer
    x = 13,740,431.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.