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Finding the Third Proportional to 31,180,024,464 and 64,012,996,710

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Solution

The third proportional to 31,180,024,464 and 64,012,996,710 is: 131,419,516,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180,024,464 : 64,012,996,710 = 64,012,996,710 : x
  2. Step 2: Convert to fraction form
    31,180,024,464/64,012,996,710 = 64,012,996,710/x
  3. Step 3: Cross multiply
    31,180,024,464x = 64,012,996,710 × 64,012,996,710
  4. Step 4: Simplify right side
    31,180,024,464x = 4,097,663,747,794,470,961,152
  5. Step 5: Solve for x
    x = 4,097,663,747,794,470,961,152/31,180,024,464
  6. Step 6: Final answer
    x = 131,419,516,765.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.