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Finding the Third Proportional to 282,277,691 and 611,461,195

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Solution

The third proportional to 282,277,691 and 611,461,195 is: 1,324,528,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277,691 : 611,461,195 = 611,461,195 : x
  2. Step 2: Convert to fraction form
    282,277,691/611,461,195 = 611,461,195/x
  3. Step 3: Cross multiply
    282,277,691x = 611,461,195 × 611,461,195
  4. Step 4: Simplify right side
    282,277,691x = 373,884,792,990,828,032
  5. Step 5: Solve for x
    x = 373,884,792,990,828,032/282,277,691
  6. Step 6: Final answer
    x = 1,324,528,309.93

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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.