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Finding the Third Proportional to 7,762,261,033 and 16,884,550,460

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Solution

The third proportional to 7,762,261,033 and 16,884,550,460 is: 36,727,448,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,261,033 : 16,884,550,460 = 16,884,550,460 : x
  2. Step 2: Convert to fraction form
    7,762,261,033/16,884,550,460 = 16,884,550,460/x
  3. Step 3: Cross multiply
    7,762,261,033x = 16,884,550,460 × 16,884,550,460
  4. Step 4: Simplify right side
    7,762,261,033x = 285,088,044,236,286,197,760
  5. Step 5: Solve for x
    x = 285,088,044,236,286,197,760/7,762,261,033
  6. Step 6: Final answer
    x = 36,727,448,745.19

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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.