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Finding the Third Proportional to 508,723,910 and 1,101,961,816

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Solution

The third proportional to 508,723,910 and 1,101,961,816 is: 2,386,991,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,723,910 : 1,101,961,816 = 1,101,961,816 : x
  2. Step 2: Convert to fraction form
    508,723,910/1,101,961,816 = 1,101,961,816/x
  3. Step 3: Cross multiply
    508,723,910x = 1,101,961,816 × 1,101,961,816
  4. Step 4: Simplify right side
    508,723,910x = 1,214,319,843,922,017,792
  5. Step 5: Solve for x
    x = 1,214,319,843,922,017,792/508,723,910
  6. Step 6: Final answer
    x = 2,386,991,883.13

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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.