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Finding the Third Proportional to 218,181,475,776 and 509,770,374,747

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Solution

The third proportional to 218,181,475,776 and 509,770,374,747 is: 1,191,053,612,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,181,475,776 : 509,770,374,747 = 509,770,374,747 : x
  2. Step 2: Convert to fraction form
    218,181,475,776/509,770,374,747 = 509,770,374,747/x
  3. Step 3: Cross multiply
    218,181,475,776x = 509,770,374,747 × 509,770,374,747
  4. Step 4: Simplify right side
    218,181,475,776x = 259,865,834,969,696,821,051,392
  5. Step 5: Solve for x
    x = 259,865,834,969,696,821,051,392/218,181,475,776
  6. Step 6: Final answer
    x = 1,191,053,612,803.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.