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Finding the Third Proportional to 282,277,708 and 611,461,236

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Solution

The third proportional to 282,277,708 and 611,461,236 is: 1,324,528,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277,708 : 611,461,236 = 611,461,236 : x
  2. Step 2: Convert to fraction form
    282,277,708/611,461,236 = 611,461,236/x
  3. Step 3: Cross multiply
    282,277,708x = 611,461,236 × 611,461,236
  4. Step 4: Simplify right side
    282,277,708x = 373,884,843,130,647,680
  5. Step 5: Solve for x
    x = 373,884,843,130,647,680/282,277,708
  6. Step 6: Final answer
    x = 1,324,528,407.79

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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.