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Finding the Third Proportional to 2,156,412,554 and 3,081,563,811

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Solution

The third proportional to 2,156,412,554 and 3,081,563,811 is: 4,403,626,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,412,554 : 3,081,563,811 = 3,081,563,811 : x
  2. Step 2: Convert to fraction form
    2,156,412,554/3,081,563,811 = 3,081,563,811/x
  3. Step 3: Cross multiply
    2,156,412,554x = 3,081,563,811 × 3,081,563,811
  4. Step 4: Simplify right side
    2,156,412,554x = 9,496,035,521,264,842,752
  5. Step 5: Solve for x
    x = 9,496,035,521,264,842,752/2,156,412,554
  6. Step 6: Final answer
    x = 4,403,626,524.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.