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Finding the Third Proportional to 38,076,824 and 58,008,018.50

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Solution

The third proportional to 38,076,824 and 58,008,018.50 is: 88,372,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076,824 : 58,008,018.50 = 58,008,018.50 : x
  2. Step 2: Convert to fraction form
    38,076,824/58,008,018.50 = 58,008,018.50/x
  3. Step 3: Cross multiply
    38,076,824x = 58,008,018.50 × 58,008,018.50
  4. Step 4: Simplify right side
    38,076,824x = 3,364,930,210,296,342
  5. Step 5: Solve for x
    x = 3,364,930,210,296,342/38,076,824
  6. Step 6: Final answer
    x = 88,372,134.46

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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.