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Finding the Third Proportional to 7,762,260,736 and 16,884,549,874

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Solution

The third proportional to 7,762,260,736 and 16,884,549,874 is: 36,727,447,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,260,736 : 16,884,549,874 = 16,884,549,874 : x
  2. Step 2: Convert to fraction form
    7,762,260,736/16,884,549,874 = 16,884,549,874/x
  3. Step 3: Cross multiply
    7,762,260,736x = 16,884,549,874 × 16,884,549,874
  4. Step 4: Simplify right side
    7,762,260,736x = 285,088,024,447,593,414,656
  5. Step 5: Solve for x
    x = 285,088,024,447,593,414,656/7,762,260,736
  6. Step 6: Final answer
    x = 36,727,447,601.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.