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Finding the Third Proportional to 2,271,637,952 and 3,398,376,100

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Solution

The third proportional to 2,271,637,952 and 3,398,376,100 is: 5,083,979,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,637,952 : 3,398,376,100 = 3,398,376,100 : x
  2. Step 2: Convert to fraction form
    2,271,637,952/3,398,376,100 = 3,398,376,100/x
  3. Step 3: Cross multiply
    2,271,637,952x = 3,398,376,100 × 3,398,376,100
  4. Step 4: Simplify right side
    2,271,637,952x = 11,548,960,117,051,209,728
  5. Step 5: Solve for x
    x = 11,548,960,117,051,209,728/2,271,637,952
  6. Step 6: Final answer
    x = 5,083,979,208.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.