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Finding the Third Proportional to 5,410,527 and 8,098,726.50

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Solution

The third proportional to 5,410,527 and 8,098,726.50 is: 12,122,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,527 : 8,098,726.50 = 8,098,726.50 : x
  2. Step 2: Convert to fraction form
    5,410,527/8,098,726.50 = 8,098,726.50/x
  3. Step 3: Cross multiply
    5,410,527x = 8,098,726.50 × 8,098,726.50
  4. Step 4: Simplify right side
    5,410,527x = 65,589,370,921,802.25
  5. Step 5: Solve for x
    x = 65,589,370,921,802.25/5,410,527
  6. Step 6: Final answer
    x = 12,122,547.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.