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Finding the Third Proportional to 3,679,104,099 and 8,070,490,680

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Solution

The third proportional to 3,679,104,099 and 8,070,490,680 is: 17,703,445,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679,104,099 : 8,070,490,680 = 8,070,490,680 : x
  2. Step 2: Convert to fraction form
    3,679,104,099/8,070,490,680 = 8,070,490,680/x
  3. Step 3: Cross multiply
    3,679,104,099x = 8,070,490,680 × 8,070,490,680
  4. Step 4: Simplify right side
    3,679,104,099x = 65,132,819,815,966,859,264
  5. Step 5: Solve for x
    x = 65,132,819,815,966,859,264/3,679,104,099
  6. Step 6: Final answer
    x = 17,703,445,747.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.