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Finding the Third Proportional to 1,901,417,821 and 4,064,509,463

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Solution

The third proportional to 1,901,417,821 and 4,064,509,463 is: 8,688,378,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,417,821 : 4,064,509,463 = 4,064,509,463 : x
  2. Step 2: Convert to fraction form
    1,901,417,821/4,064,509,463 = 4,064,509,463/x
  3. Step 3: Cross multiply
    1,901,417,821x = 4,064,509,463 × 4,064,509,463
  4. Step 4: Simplify right side
    1,901,417,821x = 16,520,237,174,816,548,864
  5. Step 5: Solve for x
    x = 16,520,237,174,816,548,864/1,901,417,821
  6. Step 6: Final answer
    x = 8,688,378,215.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.