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Finding the Third Proportional to 38,076,823.50 and 58,008,018

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Solution

The third proportional to 38,076,823.50 and 58,008,018 is: 88,372,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076,823.50 : 58,008,018 = 58,008,018 : x
  2. Step 2: Convert to fraction form
    38,076,823.50/58,008,018 = 58,008,018/x
  3. Step 3: Cross multiply
    38,076,823.50x = 58,008,018 × 58,008,018
  4. Step 4: Simplify right side
    38,076,823.50x = 3,364,930,152,288,324
  5. Step 5: Solve for x
    x = 3,364,930,152,288,324/38,076,823.50
  6. Step 6: Final answer
    x = 88,372,134.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.