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Finding the Third Proportional to 2,886,153.38 and 6,274,671.84

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Solution

The third proportional to 2,886,153.38 and 6,274,671.84 is: 13,641,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,153.38 : 6,274,671.84 = 6,274,671.84 : x
  2. Step 2: Convert to fraction form
    2,886,153.38/6,274,671.84 = 6,274,671.84/x
  3. Step 3: Cross multiply
    2,886,153.38x = 6,274,671.84 × 6,274,671.84
  4. Step 4: Simplify right side
    2,886,153.38x = 39,371,506,746,749.02
  5. Step 5: Solve for x
    x = 39,371,506,746,749.02/2,886,153.38
  6. Step 6: Final answer
    x = 13,641,515.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.