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Finding the Third Proportional to 1,057,894,477 and 2,470,356,716

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Solution

The third proportional to 1,057,894,477 and 2,470,356,716 is: 5,768,687,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,894,477 : 2,470,356,716 = 2,470,356,716 : x
  2. Step 2: Convert to fraction form
    1,057,894,477/2,470,356,716 = 2,470,356,716/x
  3. Step 3: Cross multiply
    1,057,894,477x = 2,470,356,716 × 2,470,356,716
  4. Step 4: Simplify right side
    1,057,894,477x = 6,102,662,304,286,304,256
  5. Step 5: Solve for x
    x = 6,102,662,304,286,304,256/1,057,894,477
  6. Step 6: Final answer
    x = 5,768,687,177.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.