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Finding the Third Proportional to 1,976,893,508 and 4,333,590,184

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Solution

The third proportional to 1,976,893,508 and 4,333,590,184 is: 9,499,754,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976,893,508 : 4,333,590,184 = 4,333,590,184 : x
  2. Step 2: Convert to fraction form
    1,976,893,508/4,333,590,184 = 4,333,590,184/x
  3. Step 3: Cross multiply
    1,976,893,508x = 4,333,590,184 × 4,333,590,184
  4. Step 4: Simplify right side
    1,976,893,508x = 18,780,003,882,861,154,304
  5. Step 5: Solve for x
    x = 18,780,003,882,861,154,304/1,976,893,508
  6. Step 6: Final answer
    x = 9,499,754,947.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.