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Finding the Third Proportional to 5,470,686.75 and 12,663,663

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Solution

The third proportional to 5,470,686.75 and 12,663,663 is: 29,314,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,686.75 : 12,663,663 = 12,663,663 : x
  2. Step 2: Convert to fraction form
    5,470,686.75/12,663,663 = 12,663,663/x
  3. Step 3: Cross multiply
    5,470,686.75x = 12,663,663 × 12,663,663
  4. Step 4: Simplify right side
    5,470,686.75x = 160,368,360,577,569
  5. Step 5: Solve for x
    x = 160,368,360,577,569/5,470,686.75
  6. Step 6: Final answer
    x = 29,314,118.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.