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Finding the Third Proportional to 843,462,950,761 and 1,284,928,657,026

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Solution

The third proportional to 843,462,950,761 and 1,284,928,657,026 is: 1,957,456,047,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,462,950,761 : 1,284,928,657,026 = 1,284,928,657,026 : x
  2. Step 2: Convert to fraction form
    843,462,950,761/1,284,928,657,026 = 1,284,928,657,026/x
  3. Step 3: Cross multiply
    843,462,950,761x = 1,284,928,657,026 × 1,284,928,657,026
  4. Step 4: Simplify right side
    843,462,950,761x = 1,651,041,653,646,639,820,177,408
  5. Step 5: Solve for x
    x = 1,651,041,653,646,639,820,177,408/843,462,950,761
  6. Step 6: Final answer
    x = 1,957,456,047,307.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.