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Finding the Third Proportional to 7,762,260,980 and 16,884,550,345

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Solution

The third proportional to 7,762,260,980 and 16,884,550,345 is: 36,727,448,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,260,980 : 16,884,550,345 = 16,884,550,345 : x
  2. Step 2: Convert to fraction form
    7,762,260,980/16,884,550,345 = 16,884,550,345/x
  3. Step 3: Cross multiply
    7,762,260,980x = 16,884,550,345 × 16,884,550,345
  4. Step 4: Simplify right side
    7,762,260,980x = 285,088,040,352,839,630,848
  5. Step 5: Solve for x
    x = 285,088,040,352,839,630,848/7,762,260,980
  6. Step 6: Final answer
    x = 36,727,448,495.66

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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.