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Finding the Third Proportional to 20,301,876,720 and 31,036,337,298

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Solution

The third proportional to 20,301,876,720 and 31,036,337,298 is: 47,446,561,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,301,876,720 : 31,036,337,298 = 31,036,337,298 : x
  2. Step 2: Convert to fraction form
    20,301,876,720/31,036,337,298 = 31,036,337,298/x
  3. Step 3: Cross multiply
    20,301,876,720x = 31,036,337,298 × 31,036,337,298
  4. Step 4: Simplify right side
    20,301,876,720x = 963,254,232,875,225,972,736
  5. Step 5: Solve for x
    x = 963,254,232,875,225,972,736/20,301,876,720
  6. Step 6: Final answer
    x = 47,446,561,032.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.