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Finding the Third Proportional to 571,003,625,186.25 and 863,861,345,167.50

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Solution

The third proportional to 571,003,625,186.25 and 863,861,345,167.50 is: 1,306,920,640,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,003,625,186.25 : 863,861,345,167.50 = 863,861,345,167.50 : x
  2. Step 2: Convert to fraction form
    571,003,625,186.25/863,861,345,167.50 = 863,861,345,167.50/x
  3. Step 3: Cross multiply
    571,003,625,186.25x = 863,861,345,167.50 × 863,861,345,167.50
  4. Step 4: Simplify right side
    571,003,625,186.25x = 746,256,423,674,602,623,860,736
  5. Step 5: Solve for x
    x = 746,256,423,674,602,623,860,736/571,003,625,186.25
  6. Step 6: Final answer
    x = 1,306,920,640,707.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.