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Finding the Third Proportional to 9,572,782,596 and 14,704,966,134

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Solution

The third proportional to 9,572,782,596 and 14,704,966,134 is: 22,588,628,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572,782,596 : 14,704,966,134 = 14,704,966,134 : x
  2. Step 2: Convert to fraction form
    9,572,782,596/14,704,966,134 = 14,704,966,134/x
  3. Step 3: Cross multiply
    9,572,782,596x = 14,704,966,134 × 14,704,966,134
  4. Step 4: Simplify right side
    9,572,782,596x = 216,236,029,002,086,907,904
  5. Step 5: Solve for x
    x = 216,236,029,002,086,907,904/9,572,782,596
  6. Step 6: Final answer
    x = 22,588,628,419.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.