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Finding the Third Proportional to 841,186,717.45 and 1,830,495,994.73

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Solution

The third proportional to 841,186,717.45 and 1,830,495,994.73 is: 3,983,319,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,186,717.45 : 1,830,495,994.73 = 1,830,495,994.73 : x
  2. Step 2: Convert to fraction form
    841,186,717.45/1,830,495,994.73 = 1,830,495,994.73/x
  3. Step 3: Cross multiply
    841,186,717.45x = 1,830,495,994.73 × 1,830,495,994.73
  4. Step 4: Simplify right side
    841,186,717.45x = 3,350,715,586,738,680,832
  5. Step 5: Solve for x
    x = 3,350,715,586,738,680,832/841,186,717.45
  6. Step 6: Final answer
    x = 3,983,319,656.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.