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Finding the Third Proportional to 282,277,696 and 611,461,206

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Solution

The third proportional to 282,277,696 and 611,461,206 is: 1,324,528,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277,696 : 611,461,206 = 611,461,206 : x
  2. Step 2: Convert to fraction form
    282,277,696/611,461,206 = 611,461,206/x
  3. Step 3: Cross multiply
    282,277,696x = 611,461,206 × 611,461,206
  4. Step 4: Simplify right side
    282,277,696x = 373,884,806,442,974,464
  5. Step 5: Solve for x
    x = 373,884,806,442,974,464/282,277,696
  6. Step 6: Final answer
    x = 1,324,528,334.12

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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.