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Finding the Third Proportional to 2,169,178,516 and 3,054,681,350

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Solution

The third proportional to 2,169,178,516 and 3,054,681,350 is: 4,301,664,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,178,516 : 3,054,681,350 = 3,054,681,350 : x
  2. Step 2: Convert to fraction form
    2,169,178,516/3,054,681,350 = 3,054,681,350/x
  3. Step 3: Cross multiply
    2,169,178,516x = 3,054,681,350 × 3,054,681,350
  4. Step 4: Simplify right side
    2,169,178,516x = 9,331,078,150,037,823,488
  5. Step 5: Solve for x
    x = 9,331,078,150,037,823,488/2,169,178,516
  6. Step 6: Final answer
    x = 4,301,664,469.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.