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Finding the Third Proportional to 5,314,412.85 and 11,658,491.68

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Solution

The third proportional to 5,314,412.85 and 11,658,491.68 is: 25,575,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,412.85 : 11,658,491.68 = 11,658,491.68 : x
  2. Step 2: Convert to fraction form
    5,314,412.85/11,658,491.68 = 11,658,491.68/x
  3. Step 3: Cross multiply
    5,314,412.85x = 11,658,491.68 × 11,658,491.68
  4. Step 4: Simplify right side
    5,314,412.85x = 135,920,428,336,430.45
  5. Step 5: Solve for x
    x = 135,920,428,336,430.45/5,314,412.85
  6. Step 6: Final answer
    x = 25,575,812.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.