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Finding the Third Proportional to 403,812,024,071 and 872,099,054,608

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Solution

The third proportional to 403,812,024,071 and 872,099,054,608 is: 1,883,442,581,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812,024,071 : 872,099,054,608 = 872,099,054,608 : x
  2. Step 2: Convert to fraction form
    403,812,024,071/872,099,054,608 = 872,099,054,608/x
  3. Step 3: Cross multiply
    403,812,024,071x = 872,099,054,608 × 872,099,054,608
  4. Step 4: Simplify right side
    403,812,024,071x = 760,556,761,048,167,349,223,424
  5. Step 5: Solve for x
    x = 760,556,761,048,167,349,223,424/403,812,024,071
  6. Step 6: Final answer
    x = 1,883,442,581,478.07

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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.