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Finding the Third Proportional to 776,833,889 and 1,664,473,226

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Solution

The third proportional to 776,833,889 and 1,664,473,226 is: 3,566,362,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,833,889 : 1,664,473,226 = 1,664,473,226 : x
  2. Step 2: Convert to fraction form
    776,833,889/1,664,473,226 = 1,664,473,226/x
  3. Step 3: Cross multiply
    776,833,889x = 1,664,473,226 × 1,664,473,226
  4. Step 4: Simplify right side
    776,833,889x = 2,770,471,120,070,846,976
  5. Step 5: Solve for x
    x = 2,770,471,120,070,846,976/776,833,889
  6. Step 6: Final answer
    x = 3,566,362,332.15

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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.