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Finding the Third Proportional to 70,155,053,459.44 and 144,029,230,677

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Solution

The third proportional to 70,155,053,459.44 and 144,029,230,677 is: 295,693,870,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,155,053,459.44 : 144,029,230,677 = 144,029,230,677 : x
  2. Step 2: Convert to fraction form
    70,155,053,459.44/144,029,230,677 = 144,029,230,677/x
  3. Step 3: Cross multiply
    70,155,053,459.44x = 144,029,230,677 × 144,029,230,677
  4. Step 4: Simplify right side
    70,155,053,459.44x = 20,744,419,289,408,477,331,456
  5. Step 5: Solve for x
    x = 20,744,419,289,408,477,331,456/70,155,053,459.44
  6. Step 6: Final answer
    x = 295,693,870,455.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.