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Finding the Third Proportional to 459,151,860,292 and 646,305,242,694

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Solution

The third proportional to 459,151,860,292 and 646,305,242,694 is: 909,743,600,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,151,860,292 : 646,305,242,694 = 646,305,242,694 : x
  2. Step 2: Convert to fraction form
    459,151,860,292/646,305,242,694 = 646,305,242,694/x
  3. Step 3: Cross multiply
    459,151,860,292x = 646,305,242,694 × 646,305,242,694
  4. Step 4: Simplify right side
    459,151,860,292x = 417,710,466,733,750,211,313,664
  5. Step 5: Solve for x
    x = 417,710,466,733,750,211,313,664/459,151,860,292
  6. Step 6: Final answer
    x = 909,743,600,882.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.