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Finding the Third Proportional to 2,053,005,740 and 4,214,847,544

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Solution

The third proportional to 2,053,005,740 and 4,214,847,544 is: 8,653,136,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,005,740 : 4,214,847,544 = 4,214,847,544 : x
  2. Step 2: Convert to fraction form
    2,053,005,740/4,214,847,544 = 4,214,847,544/x
  3. Step 3: Cross multiply
    2,053,005,740x = 4,214,847,544 × 4,214,847,544
  4. Step 4: Simplify right side
    2,053,005,740x = 17,764,939,819,162,832,896
  5. Step 5: Solve for x
    x = 17,764,939,819,162,832,896/2,053,005,740
  6. Step 6: Final answer
    x = 8,653,136,946.01

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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.