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Finding the Third Proportional to 292,181,777,971 and 628,335,908,820

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Solution

The third proportional to 292,181,777,971 and 628,335,908,820 is: 1,351,234,211,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,181,777,971 : 628,335,908,820 = 628,335,908,820 : x
  2. Step 2: Convert to fraction form
    292,181,777,971/628,335,908,820 = 628,335,908,820/x
  3. Step 3: Cross multiply
    292,181,777,971x = 628,335,908,820 × 628,335,908,820
  4. Step 4: Simplify right side
    292,181,777,971x = 394,806,014,312,655,332,835,328
  5. Step 5: Solve for x
    x = 394,806,014,312,655,332,835,328/292,181,777,971
  6. Step 6: Final answer
    x = 1,351,234,211,299.25

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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.