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Finding the Third Proportional to 1,869,180,324 and 3,988,540,809

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Solution

The third proportional to 1,869,180,324 and 3,988,540,809 is: 8,510,927,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,180,324 : 3,988,540,809 = 3,988,540,809 : x
  2. Step 2: Convert to fraction form
    1,869,180,324/3,988,540,809 = 3,988,540,809/x
  3. Step 3: Cross multiply
    1,869,180,324x = 3,988,540,809 × 3,988,540,809
  4. Step 4: Simplify right side
    1,869,180,324x = 15,908,457,785,058,373,632
  5. Step 5: Solve for x
    x = 15,908,457,785,058,373,632/1,869,180,324
  6. Step 6: Final answer
    x = 8,510,927,266.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.