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Finding the Third Proportional to 335,546,242,142 and 736,055,964,792

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Solution

The third proportional to 335,546,242,142 and 736,055,964,792 is: 1,614,616,154,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,546,242,142 : 736,055,964,792 = 736,055,964,792 : x
  2. Step 2: Convert to fraction form
    335,546,242,142/736,055,964,792 = 736,055,964,792/x
  3. Step 3: Cross multiply
    335,546,242,142x = 736,055,964,792 × 736,055,964,792
  4. Step 4: Simplify right side
    335,546,242,142x = 541,778,383,305,881,950,355,456
  5. Step 5: Solve for x
    x = 541,778,383,305,881,950,355,456/335,546,242,142
  6. Step 6: Final answer
    x = 1,614,616,154,981.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.