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Finding the Third Proportional to 282,277,675 and 611,461,169

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Solution

The third proportional to 282,277,675 and 611,461,169 is: 1,324,528,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277,675 : 611,461,169 = 611,461,169 : x
  2. Step 2: Convert to fraction form
    282,277,675/611,461,169 = 611,461,169/x
  3. Step 3: Cross multiply
    282,277,675x = 611,461,169 × 611,461,169
  4. Step 4: Simplify right side
    282,277,675x = 373,884,761,194,846,592
  5. Step 5: Solve for x
    x = 373,884,761,194,846,592/282,277,675
  6. Step 6: Final answer
    x = 1,324,528,272.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.