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Finding the Third Proportional to 38,076,838.50 and 58,008,036.50

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Solution

The third proportional to 38,076,838.50 and 58,008,036.50 is: 88,372,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076,838.50 : 58,008,036.50 = 58,008,036.50 : x
  2. Step 2: Convert to fraction form
    38,076,838.50/58,008,036.50 = 58,008,036.50/x
  3. Step 3: Cross multiply
    38,076,838.50x = 58,008,036.50 × 58,008,036.50
  4. Step 4: Simplify right side
    38,076,838.50x = 3,364,932,298,585,332
  5. Step 5: Solve for x
    x = 3,364,932,298,585,332/38,076,838.50
  6. Step 6: Final answer
    x = 88,372,155.65

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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.