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Finding the Third Proportional to 282,277,689 and 611,461,191

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Solution

The third proportional to 282,277,689 and 611,461,191 is: 1,324,528,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277,689 : 611,461,191 = 611,461,191 : x
  2. Step 2: Convert to fraction form
    282,277,689/611,461,191 = 611,461,191/x
  3. Step 3: Cross multiply
    282,277,689x = 611,461,191 × 611,461,191
  4. Step 4: Simplify right side
    282,277,689x = 373,884,788,099,138,496
  5. Step 5: Solve for x
    x = 373,884,788,099,138,496/282,277,689
  6. Step 6: Final answer
    x = 1,324,528,301.98

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Why These Related Problems?

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