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Finding the Third Proportional to 1,596,206,516 and 3,729,458,650

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Solution

The third proportional to 1,596,206,516 and 3,729,458,650 is: 8,713,698,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,206,516 : 3,729,458,650 = 3,729,458,650 : x
  2. Step 2: Convert to fraction form
    1,596,206,516/3,729,458,650 = 3,729,458,650/x
  3. Step 3: Cross multiply
    1,596,206,516x = 3,729,458,650 × 3,729,458,650
  4. Step 4: Simplify right side
    1,596,206,516x = 13,908,861,822,059,823,104
  5. Step 5: Solve for x
    x = 13,908,861,822,059,823,104/1,596,206,516
  6. Step 6: Final answer
    x = 8,713,698,185.44

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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.