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Finding the Third Proportional to 402,715,469,497.50 and 872,460,595,665

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Solution

The third proportional to 402,715,469,497.50 and 872,460,595,665 is: 1,890,137,202,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,715,469,497.50 : 872,460,595,665 = 872,460,595,665 : x
  2. Step 2: Convert to fraction form
    402,715,469,497.50/872,460,595,665 = 872,460,595,665/x
  3. Step 3: Cross multiply
    402,715,469,497.50x = 872,460,595,665 × 872,460,595,665
  4. Step 4: Simplify right side
    402,715,469,497.50x = 761,187,490,988,126,556,389,376
  5. Step 5: Solve for x
    x = 761,187,490,988,126,556,389,376/402,715,469,497.50
  6. Step 6: Final answer
    x = 1,890,137,202,670.46

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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.