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Finding the Third Proportional to 4,520,365.13 and 6,822,584.53

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Solution

The third proportional to 4,520,365.13 and 6,822,584.53 is: 10,297,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520,365.13 : 6,822,584.53 = 6,822,584.53 : x
  2. Step 2: Convert to fraction form
    4,520,365.13/6,822,584.53 = 6,822,584.53/x
  3. Step 3: Cross multiply
    4,520,365.13x = 6,822,584.53 × 6,822,584.53
  4. Step 4: Simplify right side
    4,520,365.13x = 46,547,659,686,051.78
  5. Step 5: Solve for x
    x = 46,547,659,686,051.78/4,520,365.13
  6. Step 6: Final answer
    x = 10,297,322.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.