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Finding the Third Proportional to 37,087,823 and 75,223,745

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Solution

The third proportional to 37,087,823 and 75,223,745 is: 152,573,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,087,823 : 75,223,745 = 75,223,745 : x
  2. Step 2: Convert to fraction form
    37,087,823/75,223,745 = 75,223,745/x
  3. Step 3: Cross multiply
    37,087,823x = 75,223,745 × 75,223,745
  4. Step 4: Simplify right side
    37,087,823x = 5,658,611,811,825,025
  5. Step 5: Solve for x
    x = 5,658,611,811,825,025/37,087,823
  6. Step 6: Final answer
    x = 152,573,307.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.