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Finding the Third Proportional to 758,818,837 and 1,692,114,570

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Solution

The third proportional to 758,818,837 and 1,692,114,570 is: 3,773,300,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,818,837 : 1,692,114,570 = 1,692,114,570 : x
  2. Step 2: Convert to fraction form
    758,818,837/1,692,114,570 = 1,692,114,570/x
  3. Step 3: Cross multiply
    758,818,837x = 1,692,114,570 × 1,692,114,570
  4. Step 4: Simplify right side
    758,818,837x = 2,863,251,718,006,284,800
  5. Step 5: Solve for x
    x = 2,863,251,718,006,284,800/758,818,837
  6. Step 6: Final answer
    x = 3,773,300,791.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.