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Finding the Third Proportional to 7,762,261,034 and 16,884,550,462

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Solution

The third proportional to 7,762,261,034 and 16,884,550,462 is: 36,727,448,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,261,034 : 16,884,550,462 = 16,884,550,462 : x
  2. Step 2: Convert to fraction form
    7,762,261,034/16,884,550,462 = 16,884,550,462/x
  3. Step 3: Cross multiply
    7,762,261,034x = 16,884,550,462 × 16,884,550,462
  4. Step 4: Simplify right side
    7,762,261,034x = 285,088,044,303,824,420,864
  5. Step 5: Solve for x
    x = 285,088,044,303,824,420,864/7,762,261,034
  6. Step 6: Final answer
    x = 36,727,448,749.16

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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.