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Finding the Third Proportional to 5,708,392.50 and 11,977,288.50

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Solution

The third proportional to 5,708,392.50 and 11,977,288.50 is: 25,130,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708,392.50 : 11,977,288.50 = 11,977,288.50 : x
  2. Step 2: Convert to fraction form
    5,708,392.50/11,977,288.50 = 11,977,288.50/x
  3. Step 3: Cross multiply
    5,708,392.50x = 11,977,288.50 × 11,977,288.50
  4. Step 4: Simplify right side
    5,708,392.50x = 143,455,439,812,232.25
  5. Step 5: Solve for x
    x = 143,455,439,812,232.25/5,708,392.50
  6. Step 6: Final answer
    x = 25,130,619.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.