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Finding the Third Proportional to 37,087,814.25 and 75,223,728

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Solution

The third proportional to 37,087,814.25 and 75,223,728 is: 152,573,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,087,814.25 : 75,223,728 = 75,223,728 : x
  2. Step 2: Convert to fraction form
    37,087,814.25/75,223,728 = 75,223,728/x
  3. Step 3: Cross multiply
    37,087,814.25x = 75,223,728 × 75,223,728
  4. Step 4: Simplify right side
    37,087,814.25x = 5,658,609,254,217,984
  5. Step 5: Solve for x
    x = 5,658,609,254,217,984/37,087,814.25
  6. Step 6: Final answer
    x = 152,573,274.23

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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.