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Finding the Third Proportional to 282,301,146 and 611,501,961

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Solution

The third proportional to 282,301,146 and 611,501,961 is: 1,324,594,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,301,146 : 611,501,961 = 611,501,961 : x
  2. Step 2: Convert to fraction form
    282,301,146/611,501,961 = 611,501,961/x
  3. Step 3: Cross multiply
    282,301,146x = 611,501,961 × 611,501,961
  4. Step 4: Simplify right side
    282,301,146x = 373,934,648,306,845,504
  5. Step 5: Solve for x
    x = 373,934,648,306,845,504/282,301,146
  6. Step 6: Final answer
    x = 1,324,594,864.76

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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.