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Finding the Third Proportional to 403,812,024,069 and 872,099,054,604

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Solution

The third proportional to 403,812,024,069 and 872,099,054,604 is: 1,883,442,581,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812,024,069 : 872,099,054,604 = 872,099,054,604 : x
  2. Step 2: Convert to fraction form
    403,812,024,069/872,099,054,604 = 872,099,054,604/x
  3. Step 3: Cross multiply
    403,812,024,069x = 872,099,054,604 × 872,099,054,604
  4. Step 4: Simplify right side
    403,812,024,069x = 760,556,761,041,190,577,504,256
  5. Step 5: Solve for x
    x = 760,556,761,041,190,577,504,256/403,812,024,069
  6. Step 6: Final answer
    x = 1,883,442,581,470.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.