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Finding the Third Proportional to 2,165,922,337.50 and 4,747,066,176

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Solution

The third proportional to 2,165,922,337.50 and 4,747,066,176 is: 10,404,176,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,922,337.50 : 4,747,066,176 = 4,747,066,176 : x
  2. Step 2: Convert to fraction form
    2,165,922,337.50/4,747,066,176 = 4,747,066,176/x
  3. Step 3: Cross multiply
    2,165,922,337.50x = 4,747,066,176 × 4,747,066,176
  4. Step 4: Simplify right side
    2,165,922,337.50x = 22,534,637,279,323,262,976
  5. Step 5: Solve for x
    x = 22,534,637,279,323,262,976/2,165,922,337.50
  6. Step 6: Final answer
    x = 10,404,176,035.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.