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Finding the Third Proportional to 35,948,959,396 and 78,155,207,572

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Solution

The third proportional to 35,948,959,396 and 78,155,207,572 is: 169,914,138,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,948,959,396 : 78,155,207,572 = 78,155,207,572 : x
  2. Step 2: Convert to fraction form
    35,948,959,396/78,155,207,572 = 78,155,207,572/x
  3. Step 3: Cross multiply
    35,948,959,396x = 78,155,207,572 × 78,155,207,572
  4. Step 4: Simplify right side
    35,948,959,396x = 6,108,236,470,622,405,787,648
  5. Step 5: Solve for x
    x = 6,108,236,470,622,405,787,648/35,948,959,396
  6. Step 6: Final answer
    x = 169,914,138,635.74

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Why These Related Problems?

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