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Finding the Third Proportional to 2,107,633.50 and 4,547,043

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Solution

The third proportional to 2,107,633.50 and 4,547,043 is: 9,809,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,633.50 : 4,547,043 = 4,547,043 : x
  2. Step 2: Convert to fraction form
    2,107,633.50/4,547,043 = 4,547,043/x
  3. Step 3: Cross multiply
    2,107,633.50x = 4,547,043 × 4,547,043
  4. Step 4: Simplify right side
    2,107,633.50x = 20,675,600,043,849
  5. Step 5: Solve for x
    x = 20,675,600,043,849/2,107,633.50
  6. Step 6: Final answer
    x = 9,809,864.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.