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Finding the Third Proportional to 26,228,814,018 and 40,290,666,561

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Solution

The third proportional to 26,228,814,018 and 40,290,666,561 is: 61,891,392,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,228,814,018 : 40,290,666,561 = 40,290,666,561 : x
  2. Step 2: Convert to fraction form
    26,228,814,018/40,290,666,561 = 40,290,666,561/x
  3. Step 3: Cross multiply
    26,228,814,018x = 40,290,666,561 × 40,290,666,561
  4. Step 4: Simplify right side
    26,228,814,018x = 1,623,337,811,929,683,460,096
  5. Step 5: Solve for x
    x = 1,623,337,811,929,683,460,096/26,228,814,018
  6. Step 6: Final answer
    x = 61,891,392,070.40

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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.