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Finding the Third Proportional to 614,860,971.75 and 1,327,697,263.75

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Solution

The third proportional to 614,860,971.75 and 1,327,697,263.75 is: 2,866,957,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,860,971.75 : 1,327,697,263.75 = 1,327,697,263.75 : x
  2. Step 2: Convert to fraction form
    614,860,971.75/1,327,697,263.75 = 1,327,697,263.75/x
  3. Step 3: Cross multiply
    614,860,971.75x = 1,327,697,263.75 × 1,327,697,263.75
  4. Step 4: Simplify right side
    614,860,971.75x = 1,762,780,024,169,236,992
  5. Step 5: Solve for x
    x = 1,762,780,024,169,236,992/614,860,971.75
  6. Step 6: Final answer
    x = 2,866,957,093.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.