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Finding the Third Proportional to 37,915,315.50 and 81,670,946.25

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Solution

The third proportional to 37,915,315.50 and 81,670,946.25 is: 175,922,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,915,315.50 : 81,670,946.25 = 81,670,946.25 : x
  2. Step 2: Convert to fraction form
    37,915,315.50/81,670,946.25 = 81,670,946.25/x
  3. Step 3: Cross multiply
    37,915,315.50x = 81,670,946.25 × 81,670,946.25
  4. Step 4: Simplify right side
    37,915,315.50x = 6,670,143,461,370,389
  5. Step 5: Solve for x
    x = 6,670,143,461,370,389/37,915,315.50
  6. Step 6: Final answer
    x = 175,922,140.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.