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Finding the Third Proportional to 364,061,724 and 802,330,824

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Solution

The third proportional to 364,061,724 and 802,330,824 is: 1,768,202,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,061,724 : 802,330,824 = 802,330,824 : x
  2. Step 2: Convert to fraction form
    364,061,724/802,330,824 = 802,330,824/x
  3. Step 3: Cross multiply
    364,061,724x = 802,330,824 × 802,330,824
  4. Step 4: Simplify right side
    364,061,724x = 643,734,751,140,518,912
  5. Step 5: Solve for x
    x = 643,734,751,140,518,912/364,061,724
  6. Step 6: Final answer
    x = 1,768,202,227.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.