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Finding the Third Proportional to 3,670,444.13 and 7,872,324.19

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Solution

The third proportional to 3,670,444.13 and 7,872,324.19 is: 16,884,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,444.13 : 7,872,324.19 = 7,872,324.19 : x
  2. Step 2: Convert to fraction form
    3,670,444.13/7,872,324.19 = 7,872,324.19/x
  3. Step 3: Cross multiply
    3,670,444.13x = 7,872,324.19 × 7,872,324.19
  4. Step 4: Simplify right side
    3,670,444.13x = 61,973,488,113,097.53
  5. Step 5: Solve for x
    x = 61,973,488,113,097.53/3,670,444.13
  6. Step 6: Final answer
    x = 16,884,465.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.