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Finding the Third Proportional to 9,238,525,760 and 18,966,813,828

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Solution

The third proportional to 9,238,525,760 and 18,966,813,828 is: 38,939,116,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238,525,760 : 18,966,813,828 = 18,966,813,828 : x
  2. Step 2: Convert to fraction form
    9,238,525,760/18,966,813,828 = 18,966,813,828/x
  3. Step 3: Cross multiply
    9,238,525,760x = 18,966,813,828 × 18,966,813,828
  4. Step 4: Simplify right side
    9,238,525,760x = 359,740,026,786,012,004,352
  5. Step 5: Solve for x
    x = 359,740,026,786,012,004,352/9,238,525,760
  6. Step 6: Final answer
    x = 38,939,116,059.36

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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.