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Finding the Third Proportional to 466,300,430 and 965,615,809

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Solution

The third proportional to 466,300,430 and 965,615,809 is: 1,999,599,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,300,430 : 965,615,809 = 965,615,809 : x
  2. Step 2: Convert to fraction form
    466,300,430/965,615,809 = 965,615,809/x
  3. Step 3: Cross multiply
    466,300,430x = 965,615,809 × 965,615,809
  4. Step 4: Simplify right side
    466,300,430x = 932,413,890,590,724,480
  5. Step 5: Solve for x
    x = 932,413,890,590,724,480/466,300,430
  6. Step 6: Final answer
    x = 1,999,599,036.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.