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Finding the Third Proportional to 282,277,703 and 611,461,219

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Solution

The third proportional to 282,277,703 and 611,461,219 is: 1,324,528,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277,703 : 611,461,219 = 611,461,219 : x
  2. Step 2: Convert to fraction form
    282,277,703/611,461,219 = 611,461,219/x
  3. Step 3: Cross multiply
    282,277,703x = 611,461,219 × 611,461,219
  4. Step 4: Simplify right side
    282,277,703x = 373,884,822,340,965,952
  5. Step 5: Solve for x
    x = 373,884,822,340,965,952/282,277,703
  6. Step 6: Final answer
    x = 1,324,528,357.60

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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.