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Finding the Third Proportional to 2,098,929,276 and 4,593,252,582

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Solution

The third proportional to 2,098,929,276 and 4,593,252,582 is: 10,051,777,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,929,276 : 4,593,252,582 = 4,593,252,582 : x
  2. Step 2: Convert to fraction form
    2,098,929,276/4,593,252,582 = 4,593,252,582/x
  3. Step 3: Cross multiply
    2,098,929,276x = 4,593,252,582 × 4,593,252,582
  4. Step 4: Simplify right side
    2,098,929,276x = 21,097,969,282,049,667,072
  5. Step 5: Solve for x
    x = 21,097,969,282,049,667,072/2,098,929,276
  6. Step 6: Final answer
    x = 10,051,777,124.31

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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.