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Finding the Third Proportional to 77,206,672 and 117,619,024

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Solution

The third proportional to 77,206,672 and 117,619,024 is: 179,184,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206,672 : 117,619,024 = 117,619,024 : x
  2. Step 2: Convert to fraction form
    77,206,672/117,619,024 = 117,619,024/x
  3. Step 3: Cross multiply
    77,206,672x = 117,619,024 × 117,619,024
  4. Step 4: Simplify right side
    77,206,672x = 13,834,234,806,712,576
  5. Step 5: Solve for x
    x = 13,834,234,806,712,576/77,206,672
  6. Step 6: Final answer
    x = 179,184,446.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.