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Finding the Third Proportional to 1,391,356,633 and 3,032,713,502

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Solution

The third proportional to 1,391,356,633 and 3,032,713,502 is: 6,610,347,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,356,633 : 3,032,713,502 = 3,032,713,502 : x
  2. Step 2: Convert to fraction form
    1,391,356,633/3,032,713,502 = 3,032,713,502/x
  3. Step 3: Cross multiply
    1,391,356,633x = 3,032,713,502 × 3,032,713,502
  4. Step 4: Simplify right side
    1,391,356,633x = 9,197,351,185,213,104,128
  5. Step 5: Solve for x
    x = 9,197,351,185,213,104,128/1,391,356,633
  6. Step 6: Final answer
    x = 6,610,347,747.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.