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Finding the Third Proportional to 287,325,249,111 and 404,103,739,313.25

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Solution

The third proportional to 287,325,249,111 and 404,103,739,313.25 is: 568,344,872,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,325,249,111 : 404,103,739,313.25 = 404,103,739,313.25 : x
  2. Step 2: Convert to fraction form
    287,325,249,111/404,103,739,313.25 = 404,103,739,313.25/x
  3. Step 3: Cross multiply
    287,325,249,111x = 404,103,739,313.25 × 404,103,739,313.25
  4. Step 4: Simplify right side
    287,325,249,111x = 163,299,832,126,951,099,727,872
  5. Step 5: Solve for x
    x = 163,299,832,126,951,099,727,872/287,325,249,111
  6. Step 6: Final answer
    x = 568,344,872,691.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.