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Finding the Third Proportional to 9,238,525,756 and 18,966,813,819

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Solution

The third proportional to 9,238,525,756 and 18,966,813,819 is: 38,939,116,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238,525,756 : 18,966,813,819 = 18,966,813,819 : x
  2. Step 2: Convert to fraction form
    9,238,525,756/18,966,813,819 = 18,966,813,819/x
  3. Step 3: Cross multiply
    9,238,525,756x = 18,966,813,819 × 18,966,813,819
  4. Step 4: Simplify right side
    9,238,525,756x = 359,740,026,444,609,355,776
  5. Step 5: Solve for x
    x = 359,740,026,444,609,355,776/9,238,525,756
  6. Step 6: Final answer
    x = 38,939,116,039.26

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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.