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Finding the Third Proportional to 5,188,065.19 and 7,390,488.09

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Solution

The third proportional to 5,188,065.19 and 7,390,488.09 is: 10,527,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188,065.19 : 7,390,488.09 = 7,390,488.09 : x
  2. Step 2: Convert to fraction form
    5,188,065.19/7,390,488.09 = 7,390,488.09/x
  3. Step 3: Cross multiply
    5,188,065.19x = 7,390,488.09 × 7,390,488.09
  4. Step 4: Simplify right side
    5,188,065.19x = 54,619,314,263,860.51
  5. Step 5: Solve for x
    x = 54,619,314,263,860.51/5,188,065.19
  6. Step 6: Final answer
    x = 10,527,877.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.