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Finding the Third Proportional to 292,181,778,010 and 628,335,908,890

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Solution

The third proportional to 292,181,778,010 and 628,335,908,890 is: 1,351,234,211,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,181,778,010 : 628,335,908,890 = 628,335,908,890 : x
  2. Step 2: Convert to fraction form
    292,181,778,010/628,335,908,890 = 628,335,908,890/x
  3. Step 3: Cross multiply
    292,181,778,010x = 628,335,908,890 × 628,335,908,890
  4. Step 4: Simplify right side
    292,181,778,010x = 394,806,014,400,622,369,964,032
  5. Step 5: Solve for x
    x = 394,806,014,400,622,369,964,032/292,181,778,010
  6. Step 6: Final answer
    x = 1,351,234,211,419.95

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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.