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Finding the Third Proportional to 585,107,332 and 802,324,308

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Solution

The third proportional to 585,107,332 and 802,324,308 is: 1,100,181,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,107,332 : 802,324,308 = 802,324,308 : x
  2. Step 2: Convert to fraction form
    585,107,332/802,324,308 = 802,324,308/x
  3. Step 3: Cross multiply
    585,107,332x = 802,324,308 × 802,324,308
  4. Step 4: Simplify right side
    585,107,332x = 643,724,295,207,678,848
  5. Step 5: Solve for x
    x = 643,724,295,207,678,848/585,107,332
  6. Step 6: Final answer
    x = 1,100,181,556.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.