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Finding the Third Proportional to 20,238,352,752 and 30,238,486,101

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Solution

The third proportional to 20,238,352,752 and 30,238,486,101 is: 45,179,864,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238,352,752 : 30,238,486,101 = 30,238,486,101 : x
  2. Step 2: Convert to fraction form
    20,238,352,752/30,238,486,101 = 30,238,486,101/x
  3. Step 3: Cross multiply
    20,238,352,752x = 30,238,486,101 × 30,238,486,101
  4. Step 4: Simplify right side
    20,238,352,752x = 914,366,041,680,370,204,672
  5. Step 5: Solve for x
    x = 914,366,041,680,370,204,672/20,238,352,752
  6. Step 6: Final answer
    x = 45,179,864,828.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.