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Finding the Third Proportional to 16,390,642,290 and 35,267,228,148

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Solution

The third proportional to 16,390,642,290 and 35,267,228,148 is: 75,883,382,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390,642,290 : 35,267,228,148 = 35,267,228,148 : x
  2. Step 2: Convert to fraction form
    16,390,642,290/35,267,228,148 = 35,267,228,148/x
  3. Step 3: Cross multiply
    16,390,642,290x = 35,267,228,148 × 35,267,228,148
  4. Step 4: Simplify right side
    16,390,642,290x = 1,243,777,381,243,083,554,816
  5. Step 5: Solve for x
    x = 1,243,777,381,243,083,554,816/16,390,642,290
  6. Step 6: Final answer
    x = 75,883,382,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.