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Finding the Third Proportional to 834,654,313,267.92 and 1,807,903,955,499.80

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Solution

The third proportional to 834,654,313,267.92 and 1,807,903,955,499.80 is: 3,916,012,486,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,654,313,267.92 : 1,807,903,955,499.80 = 1,807,903,955,499.80 : x
  2. Step 2: Convert to fraction form
    834,654,313,267.92/1,807,903,955,499.80 = 1,807,903,955,499.80/x
  3. Step 3: Cross multiply
    834,654,313,267.92x = 1,807,903,955,499.80 × 1,807,903,955,499.80
  4. Step 4: Simplify right side
    834,654,313,267.92x = 3,268,516,712,311,823,213,264,896
  5. Step 5: Solve for x
    x = 3,268,516,712,311,823,213,264,896/834,654,313,267.92
  6. Step 6: Final answer
    x = 3,916,012,486,072.96

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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.