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Finding the Third Proportional to 37,087,818.75 and 75,223,737

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Solution

The third proportional to 37,087,818.75 and 75,223,737 is: 152,573,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,087,818.75 : 75,223,737 = 75,223,737 : x
  2. Step 2: Convert to fraction form
    37,087,818.75/75,223,737 = 75,223,737/x
  3. Step 3: Cross multiply
    37,087,818.75x = 75,223,737 × 75,223,737
  4. Step 4: Simplify right side
    37,087,818.75x = 5,658,610,608,245,169
  5. Step 5: Solve for x
    x = 5,658,610,608,245,169/37,087,818.75
  6. Step 6: Final answer
    x = 152,573,292.23

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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.