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Finding the Third Proportional to 708,875,271,864 and 1,525,264,568,892

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Solution

The third proportional to 708,875,271,864 and 1,525,264,568,892 is: 3,281,863,675,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,875,271,864 : 1,525,264,568,892 = 1,525,264,568,892 : x
  2. Step 2: Convert to fraction form
    708,875,271,864/1,525,264,568,892 = 1,525,264,568,892/x
  3. Step 3: Cross multiply
    708,875,271,864x = 1,525,264,568,892 × 1,525,264,568,892
  4. Step 4: Simplify right side
    708,875,271,864x = 2,326,432,005,117,298,738,200,576
  5. Step 5: Solve for x
    x = 2,326,432,005,117,298,738,200,576/708,875,271,864
  6. Step 6: Final answer
    x = 3,281,863,675,396.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.