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Finding the Third Proportional to 6,498,011.25 and 10,102,405.50

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Solution

The third proportional to 6,498,011.25 and 10,102,405.50 is: 15,706,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,011.25 : 10,102,405.50 = 10,102,405.50 : x
  2. Step 2: Convert to fraction form
    6,498,011.25/10,102,405.50 = 10,102,405.50/x
  3. Step 3: Cross multiply
    6,498,011.25x = 10,102,405.50 × 10,102,405.50
  4. Step 4: Simplify right side
    6,498,011.25x = 102,058,596,886,430.25
  5. Step 5: Solve for x
    x = 102,058,596,886,430.25/6,498,011.25
  6. Step 6: Final answer
    x = 15,706,128.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.