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Finding the Third Proportional to 5,248,154.50 and 8,569,763.75

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Solution

The third proportional to 5,248,154.50 and 8,569,763.75 is: 13,993,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248,154.50 : 8,569,763.75 = 8,569,763.75 : x
  2. Step 2: Convert to fraction form
    5,248,154.50/8,569,763.75 = 8,569,763.75/x
  3. Step 3: Cross multiply
    5,248,154.50x = 8,569,763.75 × 8,569,763.75
  4. Step 4: Simplify right side
    5,248,154.50x = 73,440,850,730,814.06
  5. Step 5: Solve for x
    x = 73,440,850,730,814.06/5,248,154.50
  6. Step 6: Final answer
    x = 13,993,652.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.