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Finding the Third Proportional to 22,421,966,950 and 31,534,996,328

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Solution

The third proportional to 22,421,966,950 and 31,534,996,328 is: 44,351,862,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421,966,950 : 31,534,996,328 = 31,534,996,328 : x
  2. Step 2: Convert to fraction form
    22,421,966,950/31,534,996,328 = 31,534,996,328/x
  3. Step 3: Cross multiply
    22,421,966,950x = 31,534,996,328 × 31,534,996,328
  4. Step 4: Simplify right side
    22,421,966,950x = 994,455,993,406,973,542,400
  5. Step 5: Solve for x
    x = 994,455,993,406,973,542,400/22,421,966,950
  6. Step 6: Final answer
    x = 44,351,862,422.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.