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Finding the Third Proportional to 268,635,498 and 578,369,097

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Solution

The third proportional to 268,635,498 and 578,369,097 is: 1,245,221,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,635,498 : 578,369,097 = 578,369,097 : x
  2. Step 2: Convert to fraction form
    268,635,498/578,369,097 = 578,369,097/x
  3. Step 3: Cross multiply
    268,635,498x = 578,369,097 × 578,369,097
  4. Step 4: Simplify right side
    268,635,498x = 334,510,812,364,595,392
  5. Step 5: Solve for x
    x = 334,510,812,364,595,392/268,635,498
  6. Step 6: Final answer
    x = 1,245,221,926.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.