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Finding the Third Proportional to 970,647,359,274 and 2,110,241,079,810

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Solution

The third proportional to 970,647,359,274 and 2,110,241,079,810 is: 4,587,780,899,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,647,359,274 : 2,110,241,079,810 = 2,110,241,079,810 : x
  2. Step 2: Convert to fraction form
    970,647,359,274/2,110,241,079,810 = 2,110,241,079,810/x
  3. Step 3: Cross multiply
    970,647,359,274x = 2,110,241,079,810 × 2,110,241,079,810
  4. Step 4: Simplify right side
    970,647,359,274x = 4,453,117,414,917,674,811,523,072
  5. Step 5: Solve for x
    x = 4,453,117,414,917,674,811,523,072/970,647,359,274
  6. Step 6: Final answer
    x = 4,587,780,899,386.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.