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Finding the Third Proportional to 1,068,213,972 and 2,277,524,424

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Solution

The third proportional to 1,068,213,972 and 2,277,524,424 is: 4,855,878,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,213,972 : 2,277,524,424 = 2,277,524,424 : x
  2. Step 2: Convert to fraction form
    1,068,213,972/2,277,524,424 = 2,277,524,424/x
  3. Step 3: Cross multiply
    1,068,213,972x = 2,277,524,424 × 2,277,524,424
  4. Step 4: Simplify right side
    1,068,213,972x = 5,187,117,501,916,531,712
  5. Step 5: Solve for x
    x = 5,187,117,501,916,531,712/1,068,213,972
  6. Step 6: Final answer
    x = 4,855,878,726.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.