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Finding the Third Proportional to 2,164,149,645 and 4,726,747,119

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Solution

The third proportional to 2,164,149,645 and 4,726,747,119 is: 10,323,749,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,149,645 : 4,726,747,119 = 4,726,747,119 : x
  2. Step 2: Convert to fraction form
    2,164,149,645/4,726,747,119 = 4,726,747,119/x
  3. Step 3: Cross multiply
    2,164,149,645x = 4,726,747,119 × 4,726,747,119
  4. Step 4: Simplify right side
    2,164,149,645x = 22,342,138,326,974,799,872
  5. Step 5: Solve for x
    x = 22,342,138,326,974,799,872/2,164,149,645
  6. Step 6: Final answer
    x = 10,323,749,274.27

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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.