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Finding the Third Proportional to 14,423,875,958 and 31,330,740,967

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Solution

The third proportional to 14,423,875,958 and 31,330,740,967 is: 68,054,892,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423,875,958 : 31,330,740,967 = 31,330,740,967 : x
  2. Step 2: Convert to fraction form
    14,423,875,958/31,330,740,967 = 31,330,740,967/x
  3. Step 3: Cross multiply
    14,423,875,958x = 31,330,740,967 × 31,330,740,967
  4. Step 4: Simplify right side
    14,423,875,958x = 981,615,329,541,252,055,040
  5. Step 5: Solve for x
    x = 981,615,329,541,252,055,040/14,423,875,958
  6. Step 6: Final answer
    x = 68,054,892,623.84

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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.