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Finding the Third Proportional to 6,254,911.13 and 13,705,564.50

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Solution

The third proportional to 6,254,911.13 and 13,705,564.50 is: 30,031,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254,911.13 : 13,705,564.50 = 13,705,564.50 : x
  2. Step 2: Convert to fraction form
    6,254,911.13/13,705,564.50 = 13,705,564.50/x
  3. Step 3: Cross multiply
    6,254,911.13x = 13,705,564.50 × 13,705,564.50
  4. Step 4: Simplify right side
    6,254,911.13x = 187,842,498,263,660.25
  5. Step 5: Solve for x
    x = 187,842,498,263,660.25/6,254,911.13
  6. Step 6: Final answer
    x = 30,031,201.80

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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.