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Finding the Third Proportional to 252,662,131,574 and 561,815,909,997

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Solution

The third proportional to 252,662,131,574 and 561,815,909,997 is: 1,249,245,839,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,662,131,574 : 561,815,909,997 = 561,815,909,997 : x
  2. Step 2: Convert to fraction form
    252,662,131,574/561,815,909,997 = 561,815,909,997/x
  3. Step 3: Cross multiply
    252,662,131,574x = 561,815,909,997 × 561,815,909,997
  4. Step 4: Simplify right side
    252,662,131,574x = 315,637,116,725,757,187,457,024
  5. Step 5: Solve for x
    x = 315,637,116,725,757,187,457,024/252,662,131,574
  6. Step 6: Final answer
    x = 1,249,245,839,728.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.