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Finding the Third Proportional to 40,051,873,426 and 83,399,848,748

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Solution

The third proportional to 40,051,873,426 and 83,399,848,748 is: 173,663,156,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,051,873,426 : 83,399,848,748 = 83,399,848,748 : x
  2. Step 2: Convert to fraction form
    40,051,873,426/83,399,848,748 = 83,399,848,748/x
  3. Step 3: Cross multiply
    40,051,873,426x = 83,399,848,748 × 83,399,848,748
  4. Step 4: Simplify right side
    40,051,873,426x = 6,955,534,771,189,276,737,536
  5. Step 5: Solve for x
    x = 6,955,534,771,189,276,737,536/40,051,873,426
  6. Step 6: Final answer
    x = 173,663,156,707.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.