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Finding the Third Proportional to 402,715,469,500 and 872,460,595,669

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Solution

The third proportional to 402,715,469,500 and 872,460,595,669 is: 1,890,137,202,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,715,469,500 : 872,460,595,669 = 872,460,595,669 : x
  2. Step 2: Convert to fraction form
    402,715,469,500/872,460,595,669 = 872,460,595,669/x
  3. Step 3: Cross multiply
    402,715,469,500x = 872,460,595,669 × 872,460,595,669
  4. Step 4: Simplify right side
    402,715,469,500x = 761,187,490,995,106,280,898,560
  5. Step 5: Solve for x
    x = 761,187,490,995,106,280,898,560/402,715,469,500
  6. Step 6: Final answer
    x = 1,890,137,202,676.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.