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Finding the Third Proportional to 292,181,778,010.50 and 628,335,908,890.50

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Solution

The third proportional to 292,181,778,010.50 and 628,335,908,890.50 is: 1,351,234,211,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,181,778,010.50 : 628,335,908,890.50 = 628,335,908,890.50 : x
  2. Step 2: Convert to fraction form
    292,181,778,010.50/628,335,908,890.50 = 628,335,908,890.50/x
  3. Step 3: Cross multiply
    292,181,778,010.50x = 628,335,908,890.50 × 628,335,908,890.50
  4. Step 4: Simplify right side
    292,181,778,010.50x = 394,806,014,401,250,710,257,664
  5. Step 5: Solve for x
    x = 394,806,014,401,250,710,257,664/292,181,778,010.50
  6. Step 6: Final answer
    x = 1,351,234,211,419.79

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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.