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Finding the Third Proportional to 5,459,002.50 and 11,684,842.50

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Solution

The third proportional to 5,459,002.50 and 11,684,842.50 is: 25,011,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459,002.50 : 11,684,842.50 = 11,684,842.50 : x
  2. Step 2: Convert to fraction form
    5,459,002.50/11,684,842.50 = 11,684,842.50/x
  3. Step 3: Cross multiply
    5,459,002.50x = 11,684,842.50 × 11,684,842.50
  4. Step 4: Simplify right side
    5,459,002.50x = 136,535,544,249,806.25
  5. Step 5: Solve for x
    x = 136,535,544,249,806.25/5,459,002.50
  6. Step 6: Final answer
    x = 25,011,079.27

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Why These Related Problems?

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