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Finding the Third Proportional to 40,084,484 and 85,837,664

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Solution

The third proportional to 40,084,484 and 85,837,664 is: 183,814,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,084,484 : 85,837,664 = 85,837,664 : x
  2. Step 2: Convert to fraction form
    40,084,484/85,837,664 = 85,837,664/x
  3. Step 3: Cross multiply
    40,084,484x = 85,837,664 × 85,837,664
  4. Step 4: Simplify right side
    40,084,484x = 7,368,104,560,976,896
  5. Step 5: Solve for x
    x = 7,368,104,560,976,896/40,084,484
  6. Step 6: Final answer
    x = 183,814,379.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.