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Finding the Third Proportional to 252,662,131,573.50 and 561,815,909,995.50

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Solution

The third proportional to 252,662,131,573.50 and 561,815,909,995.50 is: 1,249,245,839,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,662,131,573.50 : 561,815,909,995.50 = 561,815,909,995.50 : x
  2. Step 2: Convert to fraction form
    252,662,131,573.50/561,815,909,995.50 = 561,815,909,995.50/x
  3. Step 3: Cross multiply
    252,662,131,573.50x = 561,815,909,995.50 × 561,815,909,995.50
  4. Step 4: Simplify right side
    252,662,131,573.50x = 315,637,116,724,071,748,337,664
  5. Step 5: Solve for x
    x = 315,637,116,724,071,748,337,664/252,662,131,573.50
  6. Step 6: Final answer
    x = 1,249,245,839,724.31

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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.