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Finding the Third Proportional to 31,180,023,762 and 64,012,991,416

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Solution

The third proportional to 31,180,023,762 and 64,012,991,416 is: 131,419,497,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180,023,762 : 64,012,991,416 = 64,012,991,416 : x
  2. Step 2: Convert to fraction form
    31,180,023,762/64,012,991,416 = 64,012,991,416/x
  3. Step 3: Cross multiply
    31,180,023,762x = 64,012,991,416 × 64,012,991,416
  4. Step 4: Simplify right side
    31,180,023,762x = 4,097,663,070,024,889,794,560
  5. Step 5: Solve for x
    x = 4,097,663,070,024,889,794,560/31,180,023,762
  6. Step 6: Final answer
    x = 131,419,497,987.00

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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.