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Finding the Third Proportional to 1,602,597,267 and 3,531,238,200

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Solution

The third proportional to 1,602,597,267 and 3,531,238,200 is: 7,780,896,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,597,267 : 3,531,238,200 = 3,531,238,200 : x
  2. Step 2: Convert to fraction form
    1,602,597,267/3,531,238,200 = 3,531,238,200/x
  3. Step 3: Cross multiply
    1,602,597,267x = 3,531,238,200 × 3,531,238,200
  4. Step 4: Simplify right side
    1,602,597,267x = 12,469,643,225,139,240,960
  5. Step 5: Solve for x
    x = 12,469,643,225,139,240,960/1,602,597,267
  6. Step 6: Final answer
    x = 7,780,896,349.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.