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Finding the Third Proportional to 2,668,404.75 and 5,742,072.69

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Solution

The third proportional to 2,668,404.75 and 5,742,072.69 is: 12,356,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,404.75 : 5,742,072.69 = 5,742,072.69 : x
  2. Step 2: Convert to fraction form
    2,668,404.75/5,742,072.69 = 5,742,072.69/x
  3. Step 3: Cross multiply
    2,668,404.75x = 5,742,072.69 × 5,742,072.69
  4. Step 4: Simplify right side
    2,668,404.75x = 32,971,398,748,533.47
  5. Step 5: Solve for x
    x = 32,971,398,748,533.47/2,668,404.75
  6. Step 6: Final answer
    x = 12,356,220.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.