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Finding the Third Proportional to 513,304,216 and 1,108,426,292

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Solution

The third proportional to 513,304,216 and 1,108,426,292 is: 2,393,529,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,304,216 : 1,108,426,292 = 1,108,426,292 : x
  2. Step 2: Convert to fraction form
    513,304,216/1,108,426,292 = 1,108,426,292/x
  3. Step 3: Cross multiply
    513,304,216x = 1,108,426,292 × 1,108,426,292
  4. Step 4: Simplify right side
    513,304,216x = 1,228,608,844,796,869,376
  5. Step 5: Solve for x
    x = 1,228,608,844,796,869,376/513,304,216
  6. Step 6: Final answer
    x = 2,393,529,619.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.