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Finding the Third Proportional to 2,854,596.94 and 6,154,814.11

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Solution

The third proportional to 2,854,596.94 and 6,154,814.11 is: 13,270,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,596.94 : 6,154,814.11 = 6,154,814.11 : x
  2. Step 2: Convert to fraction form
    2,854,596.94/6,154,814.11 = 6,154,814.11/x
  3. Step 3: Cross multiply
    2,854,596.94x = 6,154,814.11 × 6,154,814.11
  4. Step 4: Simplify right side
    2,854,596.94x = 37,881,736,720,961.58
  5. Step 5: Solve for x
    x = 37,881,736,720,961.58/2,854,596.94
  6. Step 6: Final answer
    x = 13,270,432.76

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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.