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Finding the Third Proportional to 834,654,313,272 and 1,807,903,955,508

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Solution

The third proportional to 834,654,313,272 and 1,807,903,955,508 is: 3,916,012,486,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,654,313,272 : 1,807,903,955,508 = 1,807,903,955,508 : x
  2. Step 2: Convert to fraction form
    834,654,313,272/1,807,903,955,508 = 1,807,903,955,508/x
  3. Step 3: Cross multiply
    834,654,313,272x = 1,807,903,955,508 × 1,807,903,955,508
  4. Step 4: Simplify right side
    834,654,313,272x = 3,268,516,712,341,472,446,251,008
  5. Step 5: Solve for x
    x = 3,268,516,712,341,472,446,251,008/834,654,313,272
  6. Step 6: Final answer
    x = 3,916,012,486,089.34

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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.