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Finding the Third Proportional to 73,685,334,663 and 113,189,687,955

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Solution

The third proportional to 73,685,334,663 and 113,189,687,955 is: 173,873,207,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,685,334,663 : 113,189,687,955 = 113,189,687,955 : x
  2. Step 2: Convert to fraction form
    73,685,334,663/113,189,687,955 = 113,189,687,955/x
  3. Step 3: Cross multiply
    73,685,334,663x = 113,189,687,955 × 113,189,687,955
  4. Step 4: Simplify right side
    73,685,334,663x = 12,811,905,459,350,272,999,424
  5. Step 5: Solve for x
    x = 12,811,905,459,350,272,999,424/73,685,334,663
  6. Step 6: Final answer
    x = 173,873,207,171.35

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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.