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Finding the Third Proportional to 26,228,814,022 and 40,290,666,567

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Solution

The third proportional to 26,228,814,022 and 40,290,666,567 is: 61,891,392,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,228,814,022 : 40,290,666,567 = 40,290,666,567 : x
  2. Step 2: Convert to fraction form
    26,228,814,022/40,290,666,567 = 40,290,666,567/x
  3. Step 3: Cross multiply
    26,228,814,022x = 40,290,666,567 × 40,290,666,567
  4. Step 4: Simplify right side
    26,228,814,022x = 1,623,337,812,413,171,630,080
  5. Step 5: Solve for x
    x = 1,623,337,812,413,171,630,080/26,228,814,022
  6. Step 6: Final answer
    x = 61,891,392,079.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.