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Finding the Third Proportional to 9,238,525,764 and 18,966,813,840

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Solution

The third proportional to 9,238,525,764 and 18,966,813,840 is: 38,939,116,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238,525,764 : 18,966,813,840 = 18,966,813,840 : x
  2. Step 2: Convert to fraction form
    9,238,525,764/18,966,813,840 = 18,966,813,840/x
  3. Step 3: Cross multiply
    9,238,525,764x = 18,966,813,840 × 18,966,813,840
  4. Step 4: Simplify right side
    9,238,525,764x = 359,740,027,241,215,557,632
  5. Step 5: Solve for x
    x = 359,740,027,241,215,557,632/9,238,525,764
  6. Step 6: Final answer
    x = 38,939,116,091.77

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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.