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Finding the Third Proportional to 447,450,806 and 907,660,117

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Solution

The third proportional to 447,450,806 and 907,660,117 is: 1,841,201,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,450,806 : 907,660,117 = 907,660,117 : x
  2. Step 2: Convert to fraction form
    447,450,806/907,660,117 = 907,660,117/x
  3. Step 3: Cross multiply
    447,450,806x = 907,660,117 × 907,660,117
  4. Step 4: Simplify right side
    447,450,806x = 823,846,887,992,453,632
  5. Step 5: Solve for x
    x = 823,846,887,992,453,632/447,450,806
  6. Step 6: Final answer
    x = 1,841,201,036.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.