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Finding the Third Proportional to 9,079,906,749 and 12,780,937,749

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Solution

The third proportional to 9,079,906,749 and 12,780,937,749 is: 17,990,533,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079,906,749 : 12,780,937,749 = 12,780,937,749 : x
  2. Step 2: Convert to fraction form
    9,079,906,749/12,780,937,749 = 12,780,937,749/x
  3. Step 3: Cross multiply
    9,079,906,749x = 12,780,937,749 × 12,780,937,749
  4. Step 4: Simplify right side
    9,079,906,749x = 163,352,369,743,813,181,440
  5. Step 5: Solve for x
    x = 163,352,369,743,813,181,440/9,079,906,749
  6. Step 6: Final answer
    x = 17,990,533,852.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.