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Finding the Third Proportional to 38,534,907.94 and 63,260,857.41

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Solution

The third proportional to 38,534,907.94 and 63,260,857.41 is: 103,852,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534,907.94 : 63,260,857.41 = 63,260,857.41 : x
  2. Step 2: Convert to fraction form
    38,534,907.94/63,260,857.41 = 63,260,857.41/x
  3. Step 3: Cross multiply
    38,534,907.94x = 63,260,857.41 × 63,260,857.41
  4. Step 4: Simplify right side
    38,534,907.94x = 4,001,936,079,773,895.50
  5. Step 5: Solve for x
    x = 4,001,936,079,773,895.50/38,534,907.94
  6. Step 6: Final answer
    x = 103,852,228.90

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.