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Finding the Third Proportional to 38,018,676.38 and 78,052,811.63

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Solution

The third proportional to 38,018,676.38 and 78,052,811.63 is: 160,243,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018,676.38 : 78,052,811.63 = 78,052,811.63 : x
  2. Step 2: Convert to fraction form
    38,018,676.38/78,052,811.63 = 78,052,811.63/x
  3. Step 3: Cross multiply
    38,018,676.38x = 78,052,811.63 × 78,052,811.63
  4. Step 4: Simplify right side
    38,018,676.38x = 6,092,241,402,567,735
  5. Step 5: Solve for x
    x = 6,092,241,402,567,735/38,018,676.38
  6. Step 6: Final answer
    x = 160,243,385.18

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