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Finding the Third Proportional to 292,181,777,969 and 628,335,908,816

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Solution

The third proportional to 292,181,777,969 and 628,335,908,816 is: 1,351,234,211,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,181,777,969 : 628,335,908,816 = 628,335,908,816 : x
  2. Step 2: Convert to fraction form
    292,181,777,969/628,335,908,816 = 628,335,908,816/x
  3. Step 3: Cross multiply
    292,181,777,969x = 628,335,908,816 × 628,335,908,816
  4. Step 4: Simplify right side
    292,181,777,969x = 394,806,014,307,628,677,595,136
  5. Step 5: Solve for x
    x = 394,806,014,307,628,677,595,136/292,181,777,969
  6. Step 6: Final answer
    x = 1,351,234,211,291.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.