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Finding the Third Proportional to 1,596,206,536 and 3,729,458,710

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Solution

The third proportional to 1,596,206,536 and 3,729,458,710 is: 8,713,698,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,206,536 : 3,729,458,710 = 3,729,458,710 : x
  2. Step 2: Convert to fraction form
    1,596,206,536/3,729,458,710 = 3,729,458,710/x
  3. Step 3: Cross multiply
    1,596,206,536x = 3,729,458,710 × 3,729,458,710
  4. Step 4: Simplify right side
    1,596,206,536x = 13,908,862,269,594,863,616
  5. Step 5: Solve for x
    x = 13,908,862,269,594,863,616/1,596,206,536
  6. Step 6: Final answer
    x = 8,713,698,356.64

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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.