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Finding the Third Proportional to 2,857,829,263 and 6,153,552,787

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Solution

The third proportional to 2,857,829,263 and 6,153,552,787 is: 13,249,990,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,829,263 : 6,153,552,787 = 6,153,552,787 : x
  2. Step 2: Convert to fraction form
    2,857,829,263/6,153,552,787 = 6,153,552,787/x
  3. Step 3: Cross multiply
    2,857,829,263x = 6,153,552,787 × 6,153,552,787
  4. Step 4: Simplify right side
    2,857,829,263x = 37,866,211,902,395,465,728
  5. Step 5: Solve for x
    x = 37,866,211,902,395,465,728/2,857,829,263
  6. Step 6: Final answer
    x = 13,249,990,960.85

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Why These Related Problems?

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