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Finding the Third Proportional to 1,928,638,832 and 4,186,062,496

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Solution

The third proportional to 1,928,638,832 and 4,186,062,496 is: 9,085,744,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,638,832 : 4,186,062,496 = 4,186,062,496 : x
  2. Step 2: Convert to fraction form
    1,928,638,832/4,186,062,496 = 4,186,062,496/x
  3. Step 3: Cross multiply
    1,928,638,832x = 4,186,062,496 × 4,186,062,496
  4. Step 4: Simplify right side
    1,928,638,832x = 17,523,119,220,417,748,992
  5. Step 5: Solve for x
    x = 17,523,119,220,417,748,992/1,928,638,832
  6. Step 6: Final answer
    x = 9,085,744,271.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.