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Finding the Third Proportional to 15,583,398,632 and 33,373,340,720

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Solution

The third proportional to 15,583,398,632 and 33,373,340,720 is: 71,472,205,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583,398,632 : 33,373,340,720 = 33,373,340,720 : x
  2. Step 2: Convert to fraction form
    15,583,398,632/33,373,340,720 = 33,373,340,720/x
  3. Step 3: Cross multiply
    15,583,398,632x = 33,373,340,720 × 33,373,340,720
  4. Step 4: Simplify right side
    15,583,398,632x = 1,113,779,870,813,210,148,864
  5. Step 5: Solve for x
    x = 1,113,779,870,813,210,148,864/15,583,398,632
  6. Step 6: Final answer
    x = 71,472,205,589.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.