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Finding the Third Proportional to 1,919,960,212,993 and 2,774,010,953,854

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Solution

The third proportional to 1,919,960,212,993 and 2,774,010,953,854 is: 4,007,966,790,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,960,212,993 : 2,774,010,953,854 = 2,774,010,953,854 : x
  2. Step 2: Convert to fraction form
    1,919,960,212,993/2,774,010,953,854 = 2,774,010,953,854/x
  3. Step 3: Cross multiply
    1,919,960,212,993x = 2,774,010,953,854 × 2,774,010,953,854
  4. Step 4: Simplify right side
    1,919,960,212,993x = 7,695,136,772,101,979,181,678,592
  5. Step 5: Solve for x
    x = 7,695,136,772,101,979,181,678,592/1,919,960,212,993
  6. Step 6: Final answer
    x = 4,007,966,790,158.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.