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Finding the Third Proportional to 292,181,778,048.38 and 628,335,908,960.60

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Solution

The third proportional to 292,181,778,048.38 and 628,335,908,960.60 is: 1,351,234,211,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,181,778,048.38 : 628,335,908,960.60 = 628,335,908,960.60 : x
  2. Step 2: Convert to fraction form
    292,181,778,048.38/628,335,908,960.60 = 628,335,908,960.60/x
  3. Step 3: Cross multiply
    292,181,778,048.38x = 628,335,908,960.60 × 628,335,908,960.60
  4. Step 4: Simplify right side
    292,181,778,048.38x = 394,806,014,489,343,375,179,776
  5. Step 5: Solve for x
    x = 394,806,014,489,343,375,179,776/292,181,778,048.38
  6. Step 6: Final answer
    x = 1,351,234,211,546.11

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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.