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Finding the Third Proportional to 14,423,875,956 and 31,330,740,963

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Solution

The third proportional to 14,423,875,956 and 31,330,740,963 is: 68,054,892,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423,875,956 : 31,330,740,963 = 31,330,740,963 : x
  2. Step 2: Convert to fraction form
    14,423,875,956/31,330,740,963 = 31,330,740,963/x
  3. Step 3: Cross multiply
    14,423,875,956x = 31,330,740,963 × 31,330,740,963
  4. Step 4: Simplify right side
    14,423,875,956x = 981,615,329,290,606,215,168
  5. Step 5: Solve for x
    x = 981,615,329,290,606,215,168/14,423,875,956
  6. Step 6: Final answer
    x = 68,054,892,615.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.