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Finding the Third Proportional to 1,354,102,303 and 1,871,061,767

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Solution

The third proportional to 1,354,102,303 and 1,871,061,767 is: 2,585,382,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,102,303 : 1,871,061,767 = 1,871,061,767 : x
  2. Step 2: Convert to fraction form
    1,354,102,303/1,871,061,767 = 1,871,061,767/x
  3. Step 3: Cross multiply
    1,354,102,303x = 1,871,061,767 × 1,871,061,767
  4. Step 4: Simplify right side
    1,354,102,303x = 3,500,872,135,929,162,240
  5. Step 5: Solve for x
    x = 3,500,872,135,929,162,240/1,354,102,303
  6. Step 6: Final answer
    x = 2,585,382,306.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.