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Finding the Third Proportional to 1,928,638,830 and 4,186,062,492

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Solution

The third proportional to 1,928,638,830 and 4,186,062,492 is: 9,085,744,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,638,830 : 4,186,062,492 = 4,186,062,492 : x
  2. Step 2: Convert to fraction form
    1,928,638,830/4,186,062,492 = 4,186,062,492/x
  3. Step 3: Cross multiply
    1,928,638,830x = 4,186,062,492 × 4,186,062,492
  4. Step 4: Simplify right side
    1,928,638,830x = 17,523,119,186,929,250,304
  5. Step 5: Solve for x
    x = 17,523,119,186,929,250,304/1,928,638,830
  6. Step 6: Final answer
    x = 9,085,744,263.96

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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.