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Finding the Third Proportional to 38,018,616 and 78,052,713.50

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Solution

The third proportional to 38,018,616 and 78,052,713.50 is: 160,243,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018,616 : 78,052,713.50 = 78,052,713.50 : x
  2. Step 2: Convert to fraction form
    38,018,616/78,052,713.50 = 78,052,713.50/x
  3. Step 3: Cross multiply
    38,018,616x = 78,052,713.50 × 78,052,713.50
  4. Step 4: Simplify right side
    38,018,616x = 6,092,226,084,713,082
  5. Step 5: Solve for x
    x = 6,092,226,084,713,082/38,018,616
  6. Step 6: Final answer
    x = 160,243,236.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.