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Finding the Third Proportional to 1,807,781,654,685 and 3,903,142,086,228

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Solution

The third proportional to 1,807,781,654,685 and 3,903,142,086,228 is: 8,427,189,260,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,781,654,685 : 3,903,142,086,228 = 3,903,142,086,228 : x
  2. Step 2: Convert to fraction form
    1,807,781,654,685/3,903,142,086,228 = 3,903,142,086,228/x
  3. Step 3: Cross multiply
    1,807,781,654,685x = 3,903,142,086,228 × 3,903,142,086,228
  4. Step 4: Simplify right side
    1,807,781,654,685x = 15,234,518,145,284,264,725,315,584
  5. Step 5: Solve for x
    x = 15,234,518,145,284,264,725,315,584/1,807,781,654,685
  6. Step 6: Final answer
    x = 8,427,189,260,275.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.