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Finding the Third Proportional to 36,975,330 and 57,701,416.50

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Solution

The third proportional to 36,975,330 and 57,701,416.50 is: 90,045,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975,330 : 57,701,416.50 = 57,701,416.50 : x
  2. Step 2: Convert to fraction form
    36,975,330/57,701,416.50 = 57,701,416.50/x
  3. Step 3: Cross multiply
    36,975,330x = 57,701,416.50 × 57,701,416.50
  4. Step 4: Simplify right side
    36,975,330x = 3,329,453,466,106,472
  5. Step 5: Solve for x
    x = 3,329,453,466,106,472/36,975,330
  6. Step 6: Final answer
    x = 90,045,267.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.