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Finding the Third Proportional to 843,462,950,776 and 1,284,928,657,047

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Solution

The third proportional to 843,462,950,776 and 1,284,928,657,047 is: 1,957,456,047,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,462,950,776 : 1,284,928,657,047 = 1,284,928,657,047 : x
  2. Step 2: Convert to fraction form
    843,462,950,776/1,284,928,657,047 = 1,284,928,657,047/x
  3. Step 3: Cross multiply
    843,462,950,776x = 1,284,928,657,047 × 1,284,928,657,047
  4. Step 4: Simplify right side
    843,462,950,776x = 1,651,041,653,700,606,889,558,016
  5. Step 5: Solve for x
    x = 1,651,041,653,700,606,889,558,016/843,462,950,776
  6. Step 6: Final answer
    x = 1,957,456,047,336.31

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