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Finding the Third Proportional to 20,444,994,963 and 31,406,015,513

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Solution

The third proportional to 20,444,994,963 and 31,406,015,513 is: 48,243,485,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,444,994,963 : 31,406,015,513 = 31,406,015,513 : x
  2. Step 2: Convert to fraction form
    20,444,994,963/31,406,015,513 = 31,406,015,513/x
  3. Step 3: Cross multiply
    20,444,994,963x = 31,406,015,513 × 31,406,015,513
  4. Step 4: Simplify right side
    20,444,994,963x = 986,337,810,402,796,634,112
  5. Step 5: Solve for x
    x = 986,337,810,402,796,634,112/20,444,994,963
  6. Step 6: Final answer
    x = 48,243,485,126.20

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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.