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Finding the Third Proportional to 402,715,469,501 and 872,460,595,671

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Solution

The third proportional to 402,715,469,501 and 872,460,595,671 is: 1,890,137,202,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,715,469,501 : 872,460,595,671 = 872,460,595,671 : x
  2. Step 2: Convert to fraction form
    402,715,469,501/872,460,595,671 = 872,460,595,671/x
  3. Step 3: Cross multiply
    402,715,469,501x = 872,460,595,671 × 872,460,595,671
  4. Step 4: Simplify right side
    402,715,469,501x = 761,187,490,998,596,210,262,016
  5. Step 5: Solve for x
    x = 761,187,490,998,596,210,262,016/402,715,469,501
  6. Step 6: Final answer
    x = 1,890,137,202,680.03

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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.